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Finding the Fourth Proportional to 13,157.88, 19,567.59 and 12,742.59

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Solution

The fourth proportional to 13,157.88, 19,567.59 and 12,742.59 is: 18,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.88 : 19,567.59 = 12,742.59 : x
  2. Step 2: Convert to fraction form
    13,157.88/19,567.59 = 12,742.59/x
  3. Step 3: Cross multiply
    13,157.88x = 19,567.59 × 12,742.59
  4. Step 4: Simplify right side
    13,157.88x = 249,341,751.06
  5. Step 5: Solve for x
    x = 249,341,751.06/13,157.88
  6. Step 6: Final answer
    x = 18,949.99

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