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Finding the Fourth Proportional to 15,869.46, 23,805.40 and 4,182.50

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Solution

The fourth proportional to 15,869.46, 23,805.40 and 4,182.50 is: 6,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,869.46 : 23,805.40 = 4,182.50 : x
  2. Step 2: Convert to fraction form
    15,869.46/23,805.40 = 4,182.50/x
  3. Step 3: Cross multiply
    15,869.46x = 23,805.40 × 4,182.50
  4. Step 4: Simplify right side
    15,869.46x = 99,566,085.50
  5. Step 5: Solve for x
    x = 99,566,085.50/15,869.46
  6. Step 6: Final answer
    x = 6,274.07

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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.