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Finding the Fourth Proportional to 16,340.64, 24,547.40 and 10,105.24

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Solution

The fourth proportional to 16,340.64, 24,547.40 and 10,105.24 is: 15,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.64 : 24,547.40 = 10,105.24 : x
  2. Step 2: Convert to fraction form
    16,340.64/24,547.40 = 10,105.24/x
  3. Step 3: Cross multiply
    16,340.64x = 24,547.40 × 10,105.24
  4. Step 4: Simplify right side
    16,340.64x = 248,057,368.38
  5. Step 5: Solve for x
    x = 248,057,368.38/16,340.64
  6. Step 6: Final answer
    x = 15,180.39

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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.