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Finding the Fourth Proportional to 14,002.59, 21,009.33 and 5,238.18

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Solution

The fourth proportional to 14,002.59, 21,009.33 and 5,238.18 is: 7,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.59 : 21,009.33 = 5,238.18 : x
  2. Step 2: Convert to fraction form
    14,002.59/21,009.33 = 5,238.18/x
  3. Step 3: Cross multiply
    14,002.59x = 21,009.33 × 5,238.18
  4. Step 4: Simplify right side
    14,002.59x = 110,050,652.22
  5. Step 5: Solve for x
    x = 110,050,652.22/14,002.59
  6. Step 6: Final answer
    x = 7,859.31

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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.