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Finding the Fourth Proportional to 25,536.66, 38,305.02 and 7,068.66

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Solution

The fourth proportional to 25,536.66, 38,305.02 and 7,068.66 is: 10,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.66 : 38,305.02 = 7,068.66 : x
  2. Step 2: Convert to fraction form
    25,536.66/38,305.02 = 7,068.66/x
  3. Step 3: Cross multiply
    25,536.66x = 38,305.02 × 7,068.66
  4. Step 4: Simplify right side
    25,536.66x = 270,765,162.67
  5. Step 5: Solve for x
    x = 270,765,162.67/25,536.66
  6. Step 6: Final answer
    x = 10,603.00

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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.