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Finding the Fourth Proportional to 15,856.48, 23,784.58 and 4,764.12

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Solution

The fourth proportional to 15,856.48, 23,784.58 and 4,764.12 is: 7,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.48 : 23,784.58 = 4,764.12 : x
  2. Step 2: Convert to fraction form
    15,856.48/23,784.58 = 4,764.12/x
  3. Step 3: Cross multiply
    15,856.48x = 23,784.58 × 4,764.12
  4. Step 4: Simplify right side
    15,856.48x = 113,312,593.27
  5. Step 5: Solve for x
    x = 113,312,593.27/15,856.48
  6. Step 6: Final answer
    x = 7,146.14

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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.