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Finding the Fourth Proportional to 22,552.74, 31,123.17 and 12,482.01

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Solution

The fourth proportional to 22,552.74, 31,123.17 and 12,482.01 is: 17,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.74 : 31,123.17 = 12,482.01 : x
  2. Step 2: Convert to fraction form
    22,552.74/31,123.17 = 12,482.01/x
  3. Step 3: Cross multiply
    22,552.74x = 31,123.17 × 12,482.01
  4. Step 4: Simplify right side
    22,552.74x = 388,479,719.17
  5. Step 5: Solve for x
    x = 388,479,719.17/22,552.74
  6. Step 6: Final answer
    x = 17,225.39

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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.