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Finding the Fourth Proportional to 22,429.75, 30,953.06 and 13,003.78

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Solution

The fourth proportional to 22,429.75, 30,953.06 and 13,003.78 is: 17,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.75 : 30,953.06 = 13,003.78 : x
  2. Step 2: Convert to fraction form
    22,429.75/30,953.06 = 13,003.78/x
  3. Step 3: Cross multiply
    22,429.75x = 30,953.06 × 13,003.78
  4. Step 4: Simplify right side
    22,429.75x = 402,506,717.55
  5. Step 5: Solve for x
    x = 402,506,717.55/22,429.75
  6. Step 6: Final answer
    x = 17,945.22

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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.