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Finding the Fourth Proportional to 22,088.96, 33,139.20 and 6,507.20

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Solution

The fourth proportional to 22,088.96, 33,139.20 and 6,507.20 is: 9,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,088.96 : 33,139.20 = 6,507.20 : x
  2. Step 2: Convert to fraction form
    22,088.96/33,139.20 = 6,507.20/x
  3. Step 3: Cross multiply
    22,088.96x = 33,139.20 × 6,507.20
  4. Step 4: Simplify right side
    22,088.96x = 215,643,402.24
  5. Step 5: Solve for x
    x = 215,643,402.24/22,088.96
  6. Step 6: Final answer
    x = 9,762.50

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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.