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Finding the Fourth Proportional to 25,415.85, 38,125.94 and 6,695.74

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Solution

The fourth proportional to 25,415.85, 38,125.94 and 6,695.74 is: 10,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,415.85 : 38,125.94 = 6,695.74 : x
  2. Step 2: Convert to fraction form
    25,415.85/38,125.94 = 6,695.74/x
  3. Step 3: Cross multiply
    25,415.85x = 38,125.94 × 6,695.74
  4. Step 4: Simplify right side
    25,415.85x = 255,281,381.50
  5. Step 5: Solve for x
    x = 255,281,381.50/25,415.85
  6. Step 6: Final answer
    x = 10,044.18

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Why These Related Problems?

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