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Finding the Fourth Proportional to 34,330.64, 51,454.37 and 14,567.68

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Solution

The fourth proportional to 34,330.64, 51,454.37 and 14,567.68 is: 21,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,330.64 : 51,454.37 = 14,567.68 : x
  2. Step 2: Convert to fraction form
    34,330.64/51,454.37 = 14,567.68/x
  3. Step 3: Cross multiply
    34,330.64x = 51,454.37 × 14,567.68
  4. Step 4: Simplify right side
    34,330.64x = 749,570,526.12
  5. Step 5: Solve for x
    x = 749,570,526.12/34,330.64
  6. Step 6: Final answer
    x = 21,833.87

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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.