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Finding the Fourth Proportional to 13,157.53, 19,567.25 and 12,742.32

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Solution

The fourth proportional to 13,157.53, 19,567.25 and 12,742.32 is: 18,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.53 : 19,567.25 = 12,742.32 : x
  2. Step 2: Convert to fraction form
    13,157.53/19,567.25 = 12,742.32/x
  3. Step 3: Cross multiply
    13,157.53x = 19,567.25 × 12,742.32
  4. Step 4: Simplify right side
    13,157.53x = 249,332,161.02
  5. Step 5: Solve for x
    x = 249,332,161.02/13,157.53
  6. Step 6: Final answer
    x = 18,949.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.