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Finding the Fourth Proportional to 13,009.64, 19,516.48 and 4,242.52

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Solution

The fourth proportional to 13,009.64, 19,516.48 and 4,242.52 is: 6,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.64 : 19,516.48 = 4,242.52 : x
  2. Step 2: Convert to fraction form
    13,009.64/19,516.48 = 4,242.52/x
  3. Step 3: Cross multiply
    13,009.64x = 19,516.48 × 4,242.52
  4. Step 4: Simplify right side
    13,009.64x = 82,799,056.73
  5. Step 5: Solve for x
    x = 82,799,056.73/13,009.64
  6. Step 6: Final answer
    x = 6,364.44

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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.