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Finding the Fourth Proportional to 14,002.25, 19,323.11 and 7,714.76

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Solution

The fourth proportional to 14,002.25, 19,323.11 and 7,714.76 is: 10,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.25 : 19,323.11 = 7,714.76 : x
  2. Step 2: Convert to fraction form
    14,002.25/19,323.11 = 7,714.76/x
  3. Step 3: Cross multiply
    14,002.25x = 19,323.11 × 7,714.76
  4. Step 4: Simplify right side
    14,002.25x = 149,073,117.53
  5. Step 5: Solve for x
    x = 149,073,117.53/14,002.25
  6. Step 6: Final answer
    x = 10,646.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.