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Finding the Fourth Proportional to 16,585.86, 22,890.15 and 9,514.50

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Solution

The fourth proportional to 16,585.86, 22,890.15 and 9,514.50 is: 13,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.86 : 22,890.15 = 9,514.50 : x
  2. Step 2: Convert to fraction form
    16,585.86/22,890.15 = 9,514.50/x
  3. Step 3: Cross multiply
    16,585.86x = 22,890.15 × 9,514.50
  4. Step 4: Simplify right side
    16,585.86x = 217,788,332.18
  5. Step 5: Solve for x
    x = 217,788,332.18/16,585.86
  6. Step 6: Final answer
    x = 13,130.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.