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Finding the Fourth Proportional to 13,652.29, 20,470.02 and 6,259.02

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Solution

The fourth proportional to 13,652.29, 20,470.02 and 6,259.02 is: 9,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.29 : 20,470.02 = 6,259.02 : x
  2. Step 2: Convert to fraction form
    13,652.29/20,470.02 = 6,259.02/x
  3. Step 3: Cross multiply
    13,652.29x = 20,470.02 × 6,259.02
  4. Step 4: Simplify right side
    13,652.29x = 128,122,264.58
  5. Step 5: Solve for x
    x = 128,122,264.58/13,652.29
  6. Step 6: Final answer
    x = 9,384.67

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Why These Related Problems?

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