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Finding the Fourth Proportional to 14,002.22, 19,323.05 and 7,714.59

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Solution

The fourth proportional to 14,002.22, 19,323.05 and 7,714.59 is: 10,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.22 : 19,323.05 = 7,714.59 : x
  2. Step 2: Convert to fraction form
    14,002.22/19,323.05 = 7,714.59/x
  3. Step 3: Cross multiply
    14,002.22x = 19,323.05 × 7,714.59
  4. Step 4: Simplify right side
    14,002.22x = 149,069,456.61
  5. Step 5: Solve for x
    x = 149,069,456.61/14,002.22
  6. Step 6: Final answer
    x = 10,646.13

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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.