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Finding the Fourth Proportional to 22,449.12, 30,980.72 and 12,378.76

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Solution

The fourth proportional to 22,449.12, 30,980.72 and 12,378.76 is: 17,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.12 : 30,980.72 = 12,378.76 : x
  2. Step 2: Convert to fraction form
    22,449.12/30,980.72 = 12,378.76/x
  3. Step 3: Cross multiply
    22,449.12x = 30,980.72 × 12,378.76
  4. Step 4: Simplify right side
    22,449.12x = 383,502,897.51
  5. Step 5: Solve for x
    x = 383,502,897.51/22,449.12
  6. Step 6: Final answer
    x = 17,083.20

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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.