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Finding the Fourth Proportional to 22,572.74, 31,152.93 and 13,147.22

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Solution

The fourth proportional to 22,572.74, 31,152.93 and 13,147.22 is: 18,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572.74 : 31,152.93 = 13,147.22 : x
  2. Step 2: Convert to fraction form
    22,572.74/31,152.93 = 13,147.22/x
  3. Step 3: Cross multiply
    22,572.74x = 31,152.93 × 13,147.22
  4. Step 4: Simplify right side
    22,572.74x = 409,574,424.35
  5. Step 5: Solve for x
    x = 409,574,424.35/22,572.74
  6. Step 6: Final answer
    x = 18,144.65

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