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Finding the Fourth Proportional to 22,281.74, 30,746.76 and 12,848.48

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Solution

The fourth proportional to 22,281.74, 30,746.76 and 12,848.48 is: 17,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.74 : 30,746.76 = 12,848.48 : x
  2. Step 2: Convert to fraction form
    22,281.74/30,746.76 = 12,848.48/x
  3. Step 3: Cross multiply
    22,281.74x = 30,746.76 × 12,848.48
  4. Step 4: Simplify right side
    22,281.74x = 395,049,130.92
  5. Step 5: Solve for x
    x = 395,049,130.92/22,281.74
  6. Step 6: Final answer
    x = 17,729.73

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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.