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Finding the Fourth Proportional to 14,308.50, 19,735.84 and 10,068.42

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Solution

The fourth proportional to 14,308.50, 19,735.84 and 10,068.42 is: 13,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.50 : 19,735.84 = 10,068.42 : x
  2. Step 2: Convert to fraction form
    14,308.50/19,735.84 = 10,068.42/x
  3. Step 3: Cross multiply
    14,308.50x = 19,735.84 × 10,068.42
  4. Step 4: Simplify right side
    14,308.50x = 198,708,726.17
  5. Step 5: Solve for x
    x = 198,708,726.17/14,308.50
  6. Step 6: Final answer
    x = 13,887.46

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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.