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Finding the Fourth Proportional to 15,785.66, 23,662.47 and 10,242.53

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Solution

The fourth proportional to 15,785.66, 23,662.47 and 10,242.53 is: 15,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.66 : 23,662.47 = 10,242.53 : x
  2. Step 2: Convert to fraction form
    15,785.66/23,662.47 = 10,242.53/x
  3. Step 3: Cross multiply
    15,785.66x = 23,662.47 × 10,242.53
  4. Step 4: Simplify right side
    15,785.66x = 242,363,558.85
  5. Step 5: Solve for x
    x = 242,363,558.85/15,785.66
  6. Step 6: Final answer
    x = 15,353.40

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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.