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Finding the Fourth Proportional to 15,666.84, 23,494.68 and 4,570.56

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Solution

The fourth proportional to 15,666.84, 23,494.68 and 4,570.56 is: 6,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.84 : 23,494.68 = 4,570.56 : x
  2. Step 2: Convert to fraction form
    15,666.84/23,494.68 = 4,570.56/x
  3. Step 3: Cross multiply
    15,666.84x = 23,494.68 × 4,570.56
  4. Step 4: Simplify right side
    15,666.84x = 107,383,844.62
  5. Step 5: Solve for x
    x = 107,383,844.62/15,666.84
  6. Step 6: Final answer
    x = 6,854.21

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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.