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Finding the Fourth Proportional to 22,484.47, 31,028.19 and 12,412.65

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Solution

The fourth proportional to 22,484.47, 31,028.19 and 12,412.65 is: 17,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.47 : 31,028.19 = 12,412.65 : x
  2. Step 2: Convert to fraction form
    22,484.47/31,028.19 = 12,412.65/x
  3. Step 3: Cross multiply
    22,484.47x = 31,028.19 × 12,412.65
  4. Step 4: Simplify right side
    22,484.47x = 385,142,062.60
  5. Step 5: Solve for x
    x = 385,142,062.60/22,484.47
  6. Step 6: Final answer
    x = 17,129.25

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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.