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Finding the Fourth Proportional to 12,854.10, 19,271.07 and 5,068.74

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Solution

The fourth proportional to 12,854.10, 19,271.07 and 5,068.74 is: 7,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.10 : 19,271.07 = 5,068.74 : x
  2. Step 2: Convert to fraction form
    12,854.10/19,271.07 = 5,068.74/x
  3. Step 3: Cross multiply
    12,854.10x = 19,271.07 × 5,068.74
  4. Step 4: Simplify right side
    12,854.10x = 97,680,043.35
  5. Step 5: Solve for x
    x = 97,680,043.35/12,854.10
  6. Step 6: Final answer
    x = 7,599.14

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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.