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Finding the Fourth Proportional to 24,643.70, 36,981.95 and 9,061.32

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Solution

The fourth proportional to 24,643.70, 36,981.95 and 9,061.32 is: 13,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.70 : 36,981.95 = 9,061.32 : x
  2. Step 2: Convert to fraction form
    24,643.70/36,981.95 = 9,061.32/x
  3. Step 3: Cross multiply
    24,643.70x = 36,981.95 × 9,061.32
  4. Step 4: Simplify right side
    24,643.70x = 335,105,237.87
  5. Step 5: Solve for x
    x = 335,105,237.87/24,643.70
  6. Step 6: Final answer
    x = 13,598.01

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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.