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Finding the Fourth Proportional to 12,370.68, 18,522.90 and 7,417.08

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Solution

The fourth proportional to 12,370.68, 18,522.90 and 7,417.08 is: 11,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370.68 : 18,522.90 = 7,417.08 : x
  2. Step 2: Convert to fraction form
    12,370.68/18,522.90 = 7,417.08/x
  3. Step 3: Cross multiply
    12,370.68x = 18,522.90 × 7,417.08
  4. Step 4: Simplify right side
    12,370.68x = 137,385,831.13
  5. Step 5: Solve for x
    x = 137,385,831.13/12,370.68
  6. Step 6: Final answer
    x = 11,105.76

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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.