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Finding the Fourth Proportional to 14,567.50, 21,867.46 and 7,545.64

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Solution

The fourth proportional to 14,567.50, 21,867.46 and 7,545.64 is: 11,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.50 : 21,867.46 = 7,545.64 : x
  2. Step 2: Convert to fraction form
    14,567.50/21,867.46 = 7,545.64/x
  3. Step 3: Cross multiply
    14,567.50x = 21,867.46 × 7,545.64
  4. Step 4: Simplify right side
    14,567.50x = 165,003,980.87
  5. Step 5: Solve for x
    x = 165,003,980.87/14,567.50
  6. Step 6: Final answer
    x = 11,326.86

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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.