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Finding the Fourth Proportional to 16,380.36, 24,547.05 and 9,345.78

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Solution

The fourth proportional to 16,380.36, 24,547.05 and 9,345.78 is: 14,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.36 : 24,547.05 = 9,345.78 : x
  2. Step 2: Convert to fraction form
    16,380.36/24,547.05 = 9,345.78/x
  3. Step 3: Cross multiply
    16,380.36x = 24,547.05 × 9,345.78
  4. Step 4: Simplify right side
    16,380.36x = 229,411,328.95
  5. Step 5: Solve for x
    x = 229,411,328.95/16,380.36
  6. Step 6: Final answer
    x = 14,005.27

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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.