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Finding the Fourth Proportional to 15,290.46, 22,929.84 and 6,406.38

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Solution

The fourth proportional to 15,290.46, 22,929.84 and 6,406.38 is: 9,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,290.46 : 22,929.84 = 6,406.38 : x
  2. Step 2: Convert to fraction form
    15,290.46/22,929.84 = 6,406.38/x
  3. Step 3: Cross multiply
    15,290.46x = 22,929.84 × 6,406.38
  4. Step 4: Simplify right side
    15,290.46x = 146,897,268.38
  5. Step 5: Solve for x
    x = 146,897,268.38/15,290.46
  6. Step 6: Final answer
    x = 9,607.12

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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.