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Finding the Fourth Proportional to 25,098.24, 34,636.32 and 13,920

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Solution

The fourth proportional to 25,098.24, 34,636.32 and 13,920 is: 19,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098.24 : 34,636.32 = 13,920 : x
  2. Step 2: Convert to fraction form
    25,098.24/34,636.32 = 13,920/x
  3. Step 3: Cross multiply
    25,098.24x = 34,636.32 × 13,920
  4. Step 4: Simplify right side
    25,098.24x = 482,137,574.40
  5. Step 5: Solve for x
    x = 482,137,574.40/25,098.24
  6. Step 6: Final answer
    x = 19,210.02

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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.