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Finding the Fourth Proportional to 14,875.75, 22,313.63 and 5,641.75

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Solution

The fourth proportional to 14,875.75, 22,313.63 and 5,641.75 is: 8,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,875.75 : 22,313.63 = 5,641.75 : x
  2. Step 2: Convert to fraction form
    14,875.75/22,313.63 = 5,641.75/x
  3. Step 3: Cross multiply
    14,875.75x = 22,313.63 × 5,641.75
  4. Step 4: Simplify right side
    14,875.75x = 125,887,922.05
  5. Step 5: Solve for x
    x = 125,887,922.05/14,875.75
  6. Step 6: Final answer
    x = 8,462.63

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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.