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Finding the Fourth Proportional to 23,484.62, 32,412.11 and 14,535

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Solution

The fourth proportional to 23,484.62, 32,412.11 and 14,535 is: 20,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.62 : 32,412.11 = 14,535 : x
  2. Step 2: Convert to fraction form
    23,484.62/32,412.11 = 14,535/x
  3. Step 3: Cross multiply
    23,484.62x = 32,412.11 × 14,535
  4. Step 4: Simplify right side
    23,484.62x = 471,109,946.18
  5. Step 5: Solve for x
    x = 471,109,946.18/23,484.62
  6. Step 6: Final answer
    x = 20,060.36

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