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Finding the Fourth Proportional to 14,066.64, 19,402.82 and 9,022.87

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Solution

The fourth proportional to 14,066.64, 19,402.82 and 9,022.87 is: 12,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.64 : 19,402.82 = 9,022.87 : x
  2. Step 2: Convert to fraction form
    14,066.64/19,402.82 = 9,022.87/x
  3. Step 3: Cross multiply
    14,066.64x = 19,402.82 × 9,022.87
  4. Step 4: Simplify right side
    14,066.64x = 175,069,135.47
  5. Step 5: Solve for x
    x = 175,069,135.47/14,066.64
  6. Step 6: Final answer
    x = 12,445.70

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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.