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Finding the Fourth Proportional to 19,686.90, 29,497.95 and 14,438.10

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Solution

The fourth proportional to 19,686.90, 29,497.95 and 14,438.10 is: 21,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.90 : 29,497.95 = 14,438.10 : x
  2. Step 2: Convert to fraction form
    19,686.90/29,497.95 = 14,438.10/x
  3. Step 3: Cross multiply
    19,686.90x = 29,497.95 × 14,438.10
  4. Step 4: Simplify right side
    19,686.90x = 425,894,351.90
  5. Step 5: Solve for x
    x = 425,894,351.90/19,686.90
  6. Step 6: Final answer
    x = 21,633.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.