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Finding the Fourth Proportional to 24,707.36, 37,045.80 and 9,120.80

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Solution

The fourth proportional to 24,707.36, 37,045.80 and 9,120.80 is: 13,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.36 : 37,045.80 = 9,120.80 : x
  2. Step 2: Convert to fraction form
    24,707.36/37,045.80 = 9,120.80/x
  3. Step 3: Cross multiply
    24,707.36x = 37,045.80 × 9,120.80
  4. Step 4: Simplify right side
    24,707.36x = 337,887,332.64
  5. Step 5: Solve for x
    x = 337,887,332.64/24,707.36
  6. Step 6: Final answer
    x = 13,675.57

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1.5x scale

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.