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Finding the Fourth Proportional to 15,685.04, 23,529.48 and 5,294

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Solution

The fourth proportional to 15,685.04, 23,529.48 and 5,294 is: 7,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.04 : 23,529.48 = 5,294 : x
  2. Step 2: Convert to fraction form
    15,685.04/23,529.48 = 5,294/x
  3. Step 3: Cross multiply
    15,685.04x = 23,529.48 × 5,294
  4. Step 4: Simplify right side
    15,685.04x = 124,565,067.12
  5. Step 5: Solve for x
    x = 124,565,067.12/15,685.04
  6. Step 6: Final answer
    x = 7,941.65

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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.