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Finding the Fourth Proportional to 25,678.88, 38,465.76 and 17,761.76

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Solution

The fourth proportional to 25,678.88, 38,465.76 and 17,761.76 is: 26,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.88 : 38,465.76 = 17,761.76 : x
  2. Step 2: Convert to fraction form
    25,678.88/38,465.76 = 17,761.76/x
  3. Step 3: Cross multiply
    25,678.88x = 38,465.76 × 17,761.76
  4. Step 4: Simplify right side
    25,678.88x = 683,219,597.34
  5. Step 5: Solve for x
    x = 683,219,597.34/25,678.88
  6. Step 6: Final answer
    x = 26,606.28

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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.