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Finding the Fourth Proportional to 14,567.76, 21,850.02 and 5,207.40

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Solution

The fourth proportional to 14,567.76, 21,850.02 and 5,207.40 is: 7,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.76 : 21,850.02 = 5,207.40 : x
  2. Step 2: Convert to fraction form
    14,567.76/21,850.02 = 5,207.40/x
  3. Step 3: Cross multiply
    14,567.76x = 21,850.02 × 5,207.40
  4. Step 4: Simplify right side
    14,567.76x = 113,781,794.15
  5. Step 5: Solve for x
    x = 113,781,794.15/14,567.76
  6. Step 6: Final answer
    x = 7,810.52

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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.