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Finding the Fourth Proportional to 14,038.35, 21,057.48 and 9,642.48

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Solution

The fourth proportional to 14,038.35, 21,057.48 and 9,642.48 is: 14,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.35 : 21,057.48 = 9,642.48 : x
  2. Step 2: Convert to fraction form
    14,038.35/21,057.48 = 9,642.48/x
  3. Step 3: Cross multiply
    14,038.35x = 21,057.48 × 9,642.48
  4. Step 4: Simplify right side
    14,038.35x = 203,046,329.75
  5. Step 5: Solve for x
    x = 203,046,329.75/14,038.35
  6. Step 6: Final answer
    x = 14,463.69

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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.