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Finding the Fourth Proportional to 23,693.31, 32,702.13 and 16,986.51

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Solution

The fourth proportional to 23,693.31, 32,702.13 and 16,986.51 is: 23,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.31 : 32,702.13 = 16,986.51 : x
  2. Step 2: Convert to fraction form
    23,693.31/32,702.13 = 16,986.51/x
  3. Step 3: Cross multiply
    23,693.31x = 32,702.13 × 16,986.51
  4. Step 4: Simplify right side
    23,693.31x = 555,495,058.27
  5. Step 5: Solve for x
    x = 555,495,058.27/23,693.31
  6. Step 6: Final answer
    x = 23,445.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.