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Finding the Fourth Proportional to 16,456.74, 24,674.16 and 9,064.68

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Solution

The fourth proportional to 16,456.74, 24,674.16 and 9,064.68 is: 13,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.74 : 24,674.16 = 9,064.68 : x
  2. Step 2: Convert to fraction form
    16,456.74/24,674.16 = 9,064.68/x
  3. Step 3: Cross multiply
    16,456.74x = 24,674.16 × 9,064.68
  4. Step 4: Simplify right side
    16,456.74x = 223,663,364.67
  5. Step 5: Solve for x
    x = 223,663,364.67/16,456.74
  6. Step 6: Final answer
    x = 13,590.99

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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.