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Finding the Fourth Proportional to 25,689.84, 38,537.33 and 6,970.19

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Solution

The fourth proportional to 25,689.84, 38,537.33 and 6,970.19 is: 10,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.84 : 38,537.33 = 6,970.19 : x
  2. Step 2: Convert to fraction form
    25,689.84/38,537.33 = 6,970.19/x
  3. Step 3: Cross multiply
    25,689.84x = 38,537.33 × 6,970.19
  4. Step 4: Simplify right side
    25,689.84x = 268,612,284.66
  5. Step 5: Solve for x
    x = 268,612,284.66/25,689.84
  6. Step 6: Final answer
    x = 10,455.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.