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Finding the Fourth Proportional to 30,854.16, 42,578.64 and 17,428.20

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Solution

The fourth proportional to 30,854.16, 42,578.64 and 17,428.20 is: 24,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.16 : 42,578.64 = 17,428.20 : x
  2. Step 2: Convert to fraction form
    30,854.16/42,578.64 = 17,428.20/x
  3. Step 3: Cross multiply
    30,854.16x = 42,578.64 × 17,428.20
  4. Step 4: Simplify right side
    30,854.16x = 742,069,053.65
  5. Step 5: Solve for x
    x = 742,069,053.65/30,854.16
  6. Step 6: Final answer
    x = 24,050.86

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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.