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Finding the Fourth Proportional to 23,897.70, 32,980.56 and 14,338

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Solution

The fourth proportional to 23,897.70, 32,980.56 and 14,338 is: 19,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.70 : 32,980.56 = 14,338 : x
  2. Step 2: Convert to fraction form
    23,897.70/32,980.56 = 14,338/x
  3. Step 3: Cross multiply
    23,897.70x = 32,980.56 × 14,338
  4. Step 4: Simplify right side
    23,897.70x = 472,875,269.28
  5. Step 5: Solve for x
    x = 472,875,269.28/23,897.70
  6. Step 6: Final answer
    x = 19,787.48

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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.