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Finding the Fourth Proportional to 22,952.40, 34,430.04 and 7,371.60

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Solution

The fourth proportional to 22,952.40, 34,430.04 and 7,371.60 is: 11,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.40 : 34,430.04 = 7,371.60 : x
  2. Step 2: Convert to fraction form
    22,952.40/34,430.04 = 7,371.60/x
  3. Step 3: Cross multiply
    22,952.40x = 34,430.04 × 7,371.60
  4. Step 4: Simplify right side
    22,952.40x = 253,804,482.86
  5. Step 5: Solve for x
    x = 253,804,482.86/22,952.40
  6. Step 6: Final answer
    x = 11,057.86

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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.