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Finding the Fourth Proportional to 12,871.80, 19,307.70 and 4,561.20

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Solution

The fourth proportional to 12,871.80, 19,307.70 and 4,561.20 is: 6,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.80 : 19,307.70 = 4,561.20 : x
  2. Step 2: Convert to fraction form
    12,871.80/19,307.70 = 4,561.20/x
  3. Step 3: Cross multiply
    12,871.80x = 19,307.70 × 4,561.20
  4. Step 4: Simplify right side
    12,871.80x = 88,066,281.24
  5. Step 5: Solve for x
    x = 88,066,281.24/12,871.80
  6. Step 6: Final answer
    x = 6,841.80

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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.