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Finding the Fourth Proportional to 14,923.68, 22,386.16 and 7,519.28

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Solution

The fourth proportional to 14,923.68, 22,386.16 and 7,519.28 is: 11,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.68 : 22,386.16 = 7,519.28 : x
  2. Step 2: Convert to fraction form
    14,923.68/22,386.16 = 7,519.28/x
  3. Step 3: Cross multiply
    14,923.68x = 22,386.16 × 7,519.28
  4. Step 4: Simplify right side
    14,923.68x = 168,327,805.16
  5. Step 5: Solve for x
    x = 168,327,805.16/14,923.68
  6. Step 6: Final answer
    x = 11,279.24

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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.