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Finding the Fourth Proportional to 24,065.76, 36,113.20 and 10,214.76

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Solution

The fourth proportional to 24,065.76, 36,113.20 and 10,214.76 is: 15,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.76 : 36,113.20 = 10,214.76 : x
  2. Step 2: Convert to fraction form
    24,065.76/36,113.20 = 10,214.76/x
  3. Step 3: Cross multiply
    24,065.76x = 36,113.20 × 10,214.76
  4. Step 4: Simplify right side
    24,065.76x = 368,887,670.83
  5. Step 5: Solve for x
    x = 368,887,670.83/24,065.76
  6. Step 6: Final answer
    x = 15,328.32

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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.