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Finding the Fourth Proportional to 12,681.60, 19,025.10 and 3,917.40

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Solution

The fourth proportional to 12,681.60, 19,025.10 and 3,917.40 is: 5,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.60 : 19,025.10 = 3,917.40 : x
  2. Step 2: Convert to fraction form
    12,681.60/19,025.10 = 3,917.40/x
  3. Step 3: Cross multiply
    12,681.60x = 19,025.10 × 3,917.40
  4. Step 4: Simplify right side
    12,681.60x = 74,528,926.74
  5. Step 5: Solve for x
    x = 74,528,926.74/12,681.60
  6. Step 6: Final answer
    x = 5,876.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.