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Finding the Fourth Proportional to 25,689.34, 38,536.58 and 6,969.68

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Solution

The fourth proportional to 25,689.34, 38,536.58 and 6,969.68 is: 10,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.34 : 38,536.58 = 6,969.68 : x
  2. Step 2: Convert to fraction form
    25,689.34/38,536.58 = 6,969.68/x
  3. Step 3: Cross multiply
    25,689.34x = 38,536.58 × 6,969.68
  4. Step 4: Simplify right side
    25,689.34x = 268,587,630.89
  5. Step 5: Solve for x
    x = 268,587,630.89/25,689.34
  6. Step 6: Final answer
    x = 10,455.22

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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.