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Finding the Fourth Proportional to 25,642.46, 35,386.47 and 14,311.82

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Solution

The fourth proportional to 25,642.46, 35,386.47 and 14,311.82 is: 19,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.46 : 35,386.47 = 14,311.82 : x
  2. Step 2: Convert to fraction form
    25,642.46/35,386.47 = 14,311.82/x
  3. Step 3: Cross multiply
    25,642.46x = 35,386.47 × 14,311.82
  4. Step 4: Simplify right side
    25,642.46x = 506,444,612.14
  5. Step 5: Solve for x
    x = 506,444,612.14/25,642.46
  6. Step 6: Final answer
    x = 19,750.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.