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Finding the Fourth Proportional to 15,117.84, 22,647.12 and 9,907.92

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Solution

The fourth proportional to 15,117.84, 22,647.12 and 9,907.92 is: 14,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.84 : 22,647.12 = 9,907.92 : x
  2. Step 2: Convert to fraction form
    15,117.84/22,647.12 = 9,907.92/x
  3. Step 3: Cross multiply
    15,117.84x = 22,647.12 × 9,907.92
  4. Step 4: Simplify right side
    15,117.84x = 224,385,853.19
  5. Step 5: Solve for x
    x = 224,385,853.19/15,117.84
  6. Step 6: Final answer
    x = 14,842.45

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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.