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Finding the Fourth Proportional to 22,762.32, 31,416.84 and 15,306

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Solution

The fourth proportional to 22,762.32, 31,416.84 and 15,306 is: 21,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.32 : 31,416.84 = 15,306 : x
  2. Step 2: Convert to fraction form
    22,762.32/31,416.84 = 15,306/x
  3. Step 3: Cross multiply
    22,762.32x = 31,416.84 × 15,306
  4. Step 4: Simplify right side
    22,762.32x = 480,866,153.04
  5. Step 5: Solve for x
    x = 480,866,153.04/22,762.32
  6. Step 6: Final answer
    x = 21,125.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.