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Finding the Fourth Proportional to 14,497.88, 21,750.46 and 4,109.63

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Solution

The fourth proportional to 14,497.88, 21,750.46 and 4,109.63 is: 6,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.88 : 21,750.46 = 4,109.63 : x
  2. Step 2: Convert to fraction form
    14,497.88/21,750.46 = 4,109.63/x
  3. Step 3: Cross multiply
    14,497.88x = 21,750.46 × 4,109.63
  4. Step 4: Simplify right side
    14,497.88x = 89,386,342.93
  5. Step 5: Solve for x
    x = 89,386,342.93/14,497.88
  6. Step 6: Final answer
    x = 6,165.48

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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.