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Finding the Fourth Proportional to 16,380.35, 24,547.05 and 9,345.81

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Solution

The fourth proportional to 16,380.35, 24,547.05 and 9,345.81 is: 14,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.35 : 24,547.05 = 9,345.81 : x
  2. Step 2: Convert to fraction form
    16,380.35/24,547.05 = 9,345.81/x
  3. Step 3: Cross multiply
    16,380.35x = 24,547.05 × 9,345.81
  4. Step 4: Simplify right side
    16,380.35x = 229,412,065.36
  5. Step 5: Solve for x
    x = 229,412,065.36/16,380.35
  6. Step 6: Final answer
    x = 14,005.33

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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.