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Finding the Fourth Proportional to 14,645.50, 21,925.16 and 9,080.98

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Solution

The fourth proportional to 14,645.50, 21,925.16 and 9,080.98 is: 13,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.50 : 21,925.16 = 9,080.98 : x
  2. Step 2: Convert to fraction form
    14,645.50/21,925.16 = 9,080.98/x
  3. Step 3: Cross multiply
    14,645.50x = 21,925.16 × 9,080.98
  4. Step 4: Simplify right side
    14,645.50x = 199,101,939.46
  5. Step 5: Solve for x
    x = 199,101,939.46/14,645.50
  6. Step 6: Final answer
    x = 13,594.75

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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.