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Finding the Fourth Proportional to 13,574.16, 20,360.16 and 5,258.16

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Solution

The fourth proportional to 13,574.16, 20,360.16 and 5,258.16 is: 7,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.16 : 20,360.16 = 5,258.16 : x
  2. Step 2: Convert to fraction form
    13,574.16/20,360.16 = 5,258.16/x
  3. Step 3: Cross multiply
    13,574.16x = 20,360.16 × 5,258.16
  4. Step 4: Simplify right side
    13,574.16x = 107,056,978.91
  5. Step 5: Solve for x
    x = 107,056,978.91/13,574.16
  6. Step 6: Final answer
    x = 7,886.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.