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Finding the Fourth Proportional to 23,655.61, 35,489.13 and 8,864.66

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Solution

The fourth proportional to 23,655.61, 35,489.13 and 8,864.66 is: 13,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655.61 : 35,489.13 = 8,864.66 : x
  2. Step 2: Convert to fraction form
    23,655.61/35,489.13 = 8,864.66/x
  3. Step 3: Cross multiply
    23,655.61x = 35,489.13 × 8,864.66
  4. Step 4: Simplify right side
    23,655.61x = 314,599,071.15
  5. Step 5: Solve for x
    x = 314,599,071.15/23,655.61
  6. Step 6: Final answer
    x = 13,299.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.