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Finding the Fourth Proportional to 15,642.84, 23,447.70 and 7,315.86

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Solution

The fourth proportional to 15,642.84, 23,447.70 and 7,315.86 is: 10,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.84 : 23,447.70 = 7,315.86 : x
  2. Step 2: Convert to fraction form
    15,642.84/23,447.70 = 7,315.86/x
  3. Step 3: Cross multiply
    15,642.84x = 23,447.70 × 7,315.86
  4. Step 4: Simplify right side
    15,642.84x = 171,540,090.52
  5. Step 5: Solve for x
    x = 171,540,090.52/15,642.84
  6. Step 6: Final answer
    x = 10,966.05

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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.