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Finding the Fourth Proportional to 16,349.64, 24,513.52 and 6,486.28

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Solution

The fourth proportional to 16,349.64, 24,513.52 and 6,486.28 is: 9,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.64 : 24,513.52 = 6,486.28 : x
  2. Step 2: Convert to fraction form
    16,349.64/24,513.52 = 6,486.28/x
  3. Step 3: Cross multiply
    16,349.64x = 24,513.52 × 6,486.28
  4. Step 4: Simplify right side
    16,349.64x = 159,001,554.51
  5. Step 5: Solve for x
    x = 159,001,554.51/16,349.64
  6. Step 6: Final answer
    x = 9,725.08

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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.