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Finding the Fourth Proportional to 16,484, 24,663.96 and 11,563.28

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Solution

The fourth proportional to 16,484, 24,663.96 and 11,563.28 is: 17,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484 : 24,663.96 = 11,563.28 : x
  2. Step 2: Convert to fraction form
    16,484/24,663.96 = 11,563.28/x
  3. Step 3: Cross multiply
    16,484x = 24,663.96 × 11,563.28
  4. Step 4: Simplify right side
    16,484x = 285,196,275.39
  5. Step 5: Solve for x
    x = 285,196,275.39/16,484
  6. Step 6: Final answer
    x = 17,301.40

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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.