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Finding the Fourth Proportional to 30,854.22, 42,569.46 and 18,913.20

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Solution

The fourth proportional to 30,854.22, 42,569.46 and 18,913.20 is: 26,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.22 : 42,569.46 = 18,913.20 : x
  2. Step 2: Convert to fraction form
    30,854.22/42,569.46 = 18,913.20/x
  3. Step 3: Cross multiply
    30,854.22x = 42,569.46 × 18,913.20
  4. Step 4: Simplify right side
    30,854.22x = 805,124,710.87
  5. Step 5: Solve for x
    x = 805,124,710.87/30,854.22
  6. Step 6: Final answer
    x = 26,094.48

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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.