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Finding the Fourth Proportional to 15,489.61, 21,376.10 and 8,416.46

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Solution

The fourth proportional to 15,489.61, 21,376.10 and 8,416.46 is: 11,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489.61 : 21,376.10 = 8,416.46 : x
  2. Step 2: Convert to fraction form
    15,489.61/21,376.10 = 8,416.46/x
  3. Step 3: Cross multiply
    15,489.61x = 21,376.10 × 8,416.46
  4. Step 4: Simplify right side
    15,489.61x = 179,911,090.61
  5. Step 5: Solve for x
    x = 179,911,090.61/15,489.61
  6. Step 6: Final answer
    x = 11,614.95

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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.