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Finding the Fourth Proportional to 14,159.90, 21,239.86 and 4,800

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Solution

The fourth proportional to 14,159.90, 21,239.86 and 4,800 is: 7,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.90 : 21,239.86 = 4,800 : x
  2. Step 2: Convert to fraction form
    14,159.90/21,239.86 = 4,800/x
  3. Step 3: Cross multiply
    14,159.90x = 21,239.86 × 4,800
  4. Step 4: Simplify right side
    14,159.90x = 101,951,328
  5. Step 5: Solve for x
    x = 101,951,328/14,159.90
  6. Step 6: Final answer
    x = 7,200.00

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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.