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Finding the Fourth Proportional to 23,724, 32,738.88 and 13,113.12

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Solution

The fourth proportional to 23,724, 32,738.88 and 13,113.12 is: 18,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724 : 32,738.88 = 13,113.12 : x
  2. Step 2: Convert to fraction form
    23,724/32,738.88 = 13,113.12/x
  3. Step 3: Cross multiply
    23,724x = 32,738.88 × 13,113.12
  4. Step 4: Simplify right side
    23,724x = 429,308,862.11
  5. Step 5: Solve for x
    x = 429,308,862.11/23,724
  6. Step 6: Final answer
    x = 18,095.97

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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.