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Finding the Fourth Proportional to 30,585.29, 42,209.82 and 16,974.02

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Solution

The fourth proportional to 30,585.29, 42,209.82 and 16,974.02 is: 23,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.29 : 42,209.82 = 16,974.02 : x
  2. Step 2: Convert to fraction form
    30,585.29/42,209.82 = 16,974.02/x
  3. Step 3: Cross multiply
    30,585.29x = 42,209.82 × 16,974.02
  4. Step 4: Simplify right side
    30,585.29x = 716,470,117.83
  5. Step 5: Solve for x
    x = 716,470,117.83/30,585.29
  6. Step 6: Final answer
    x = 23,425.32

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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.