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Finding the Fourth Proportional to 15,209.74, 22,810.65 and 6,440.14

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Solution

The fourth proportional to 15,209.74, 22,810.65 and 6,440.14 is: 9,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.74 : 22,810.65 = 6,440.14 : x
  2. Step 2: Convert to fraction form
    15,209.74/22,810.65 = 6,440.14/x
  3. Step 3: Cross multiply
    15,209.74x = 22,810.65 × 6,440.14
  4. Step 4: Simplify right side
    15,209.74x = 146,903,779.49
  5. Step 5: Solve for x
    x = 146,903,779.49/15,209.74
  6. Step 6: Final answer
    x = 9,658.53

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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.