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Finding the Fourth Proportional to 14,070.71, 19,398.56 and 9,026.16

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Solution

The fourth proportional to 14,070.71, 19,398.56 and 9,026.16 is: 12,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.71 : 19,398.56 = 9,026.16 : x
  2. Step 2: Convert to fraction form
    14,070.71/19,398.56 = 9,026.16/x
  3. Step 3: Cross multiply
    14,070.71x = 19,398.56 × 9,026.16
  4. Step 4: Simplify right side
    14,070.71x = 175,094,519.17
  5. Step 5: Solve for x
    x = 175,094,519.17/14,070.71
  6. Step 6: Final answer
    x = 12,443.90

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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.