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Finding the Fourth Proportional to 22,641.78, 31,245.76 and 14,148.83

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Solution

The fourth proportional to 22,641.78, 31,245.76 and 14,148.83 is: 19,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.78 : 31,245.76 = 14,148.83 : x
  2. Step 2: Convert to fraction form
    22,641.78/31,245.76 = 14,148.83/x
  3. Step 3: Cross multiply
    22,641.78x = 31,245.76 × 14,148.83
  4. Step 4: Simplify right side
    22,641.78x = 442,090,946.46
  5. Step 5: Solve for x
    x = 442,090,946.46/22,641.78
  6. Step 6: Final answer
    x = 19,525.45

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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.