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Finding the Fourth Proportional to 25,875.84, 38,818.71 and 8,340.96

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Solution

The fourth proportional to 25,875.84, 38,818.71 and 8,340.96 is: 12,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875.84 : 38,818.71 = 8,340.96 : x
  2. Step 2: Convert to fraction form
    25,875.84/38,818.71 = 8,340.96/x
  3. Step 3: Cross multiply
    25,875.84x = 38,818.71 × 8,340.96
  4. Step 4: Simplify right side
    25,875.84x = 323,785,307.36
  5. Step 5: Solve for x
    x = 323,785,307.36/25,875.84
  6. Step 6: Final answer
    x = 12,513.04

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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.