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Finding the Fourth Proportional to 14,666.47, 22,010.64 and 6,880.75

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Solution

The fourth proportional to 14,666.47, 22,010.64 and 6,880.75 is: 10,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.47 : 22,010.64 = 6,880.75 : x
  2. Step 2: Convert to fraction form
    14,666.47/22,010.64 = 6,880.75/x
  3. Step 3: Cross multiply
    14,666.47x = 22,010.64 × 6,880.75
  4. Step 4: Simplify right side
    14,666.47x = 151,449,630.35
  5. Step 5: Solve for x
    x = 151,449,630.35/14,666.47
  6. Step 6: Final answer
    x = 10,326.25

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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.