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Finding the Fourth Proportional to 14,422.46, 19,897.45 and 10,654.64

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Solution

The fourth proportional to 14,422.46, 19,897.45 and 10,654.64 is: 14,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.46 : 19,897.45 = 10,654.64 : x
  2. Step 2: Convert to fraction form
    14,422.46/19,897.45 = 10,654.64/x
  3. Step 3: Cross multiply
    14,422.46x = 19,897.45 × 10,654.64
  4. Step 4: Simplify right side
    14,422.46x = 212,000,115.16
  5. Step 5: Solve for x
    x = 212,000,115.16/14,422.46
  6. Step 6: Final answer
    x = 14,699.31

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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.