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Finding the Fourth Proportional to 23,487.40, 32,412.54 and 12,877

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Solution

The fourth proportional to 23,487.40, 32,412.54 and 12,877 is: 17,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.40 : 32,412.54 = 12,877 : x
  2. Step 2: Convert to fraction form
    23,487.40/32,412.54 = 12,877/x
  3. Step 3: Cross multiply
    23,487.40x = 32,412.54 × 12,877
  4. Step 4: Simplify right side
    23,487.40x = 417,376,277.58
  5. Step 5: Solve for x
    x = 417,376,277.58/23,487.40
  6. Step 6: Final answer
    x = 17,770.22

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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.