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Finding the Fourth Proportional to 23,294, 32,145.40 and 13,862.32

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Solution

The fourth proportional to 23,294, 32,145.40 and 13,862.32 is: 19,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294 : 32,145.40 = 13,862.32 : x
  2. Step 2: Convert to fraction form
    23,294/32,145.40 = 13,862.32/x
  3. Step 3: Cross multiply
    23,294x = 32,145.40 × 13,862.32
  4. Step 4: Simplify right side
    23,294x = 445,609,821.33
  5. Step 5: Solve for x
    x = 445,609,821.33/23,294
  6. Step 6: Final answer
    x = 19,129.81

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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.