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Finding the Fourth Proportional to 23,523, 32,463.24 and 13,587

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Solution

The fourth proportional to 23,523, 32,463.24 and 13,587 is: 18,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523 : 32,463.24 = 13,587 : x
  2. Step 2: Convert to fraction form
    23,523/32,463.24 = 13,587/x
  3. Step 3: Cross multiply
    23,523x = 32,463.24 × 13,587
  4. Step 4: Simplify right side
    23,523x = 441,078,041.88
  5. Step 5: Solve for x
    x = 441,078,041.88/23,523
  6. Step 6: Final answer
    x = 18,750.93

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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.