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Finding the Fourth Proportional to 22,314.48, 30,798.54 and 12,881.76

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Solution

The fourth proportional to 22,314.48, 30,798.54 and 12,881.76 is: 17,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.48 : 30,798.54 = 12,881.76 : x
  2. Step 2: Convert to fraction form
    22,314.48/30,798.54 = 12,881.76/x
  3. Step 3: Cross multiply
    22,314.48x = 30,798.54 × 12,881.76
  4. Step 4: Simplify right side
    22,314.48x = 396,739,400.63
  5. Step 5: Solve for x
    x = 396,739,400.63/22,314.48
  6. Step 6: Final answer
    x = 17,779.46

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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.