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Finding the Fourth Proportional to 19,508.04, 29,262.78 and 9,117

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Solution

The fourth proportional to 19,508.04, 29,262.78 and 9,117 is: 13,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,508.04 : 29,262.78 = 9,117 : x
  2. Step 2: Convert to fraction form
    19,508.04/29,262.78 = 9,117/x
  3. Step 3: Cross multiply
    19,508.04x = 29,262.78 × 9,117
  4. Step 4: Simplify right side
    19,508.04x = 266,788,765.26
  5. Step 5: Solve for x
    x = 266,788,765.26/19,508.04
  6. Step 6: Final answer
    x = 13,675.84

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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.