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Finding the Fourth Proportional to 12,871.68, 19,307.32 and 4,106.54

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Solution

The fourth proportional to 12,871.68, 19,307.32 and 4,106.54 is: 6,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.68 : 19,307.32 = 4,106.54 : x
  2. Step 2: Convert to fraction form
    12,871.68/19,307.32 = 4,106.54/x
  3. Step 3: Cross multiply
    12,871.68x = 19,307.32 × 4,106.54
  4. Step 4: Simplify right side
    12,871.68x = 79,286,281.87
  5. Step 5: Solve for x
    x = 79,286,281.87/12,871.68
  6. Step 6: Final answer
    x = 6,159.75

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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.