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Finding the Fourth Proportional to 22,730.70, 31,370.80 and 13,307.16

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Solution

The fourth proportional to 22,730.70, 31,370.80 and 13,307.16 is: 18,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730.70 : 31,370.80 = 13,307.16 : x
  2. Step 2: Convert to fraction form
    22,730.70/31,370.80 = 13,307.16/x
  3. Step 3: Cross multiply
    22,730.70x = 31,370.80 × 13,307.16
  4. Step 4: Simplify right side
    22,730.70x = 417,456,254.93
  5. Step 5: Solve for x
    x = 417,456,254.93/22,730.70
  6. Step 6: Final answer
    x = 18,365.31

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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.