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Finding the Fourth Proportional to 16,384.65, 22,592.94 and 11,070.24

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Solution

The fourth proportional to 16,384.65, 22,592.94 and 11,070.24 is: 15,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.65 : 22,592.94 = 11,070.24 : x
  2. Step 2: Convert to fraction form
    16,384.65/22,592.94 = 11,070.24/x
  3. Step 3: Cross multiply
    16,384.65x = 22,592.94 × 11,070.24
  4. Step 4: Simplify right side
    16,384.65x = 250,109,268.11
  5. Step 5: Solve for x
    x = 250,109,268.11/16,384.65
  6. Step 6: Final answer
    x = 15,264.85

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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.