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Finding the Fourth Proportional to 14,113.68, 19,485.80 and 9,080.24

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Solution

The fourth proportional to 14,113.68, 19,485.80 and 9,080.24 is: 12,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.68 : 19,485.80 = 9,080.24 : x
  2. Step 2: Convert to fraction form
    14,113.68/19,485.80 = 9,080.24/x
  3. Step 3: Cross multiply
    14,113.68x = 19,485.80 × 9,080.24
  4. Step 4: Simplify right side
    14,113.68x = 176,935,740.59
  5. Step 5: Solve for x
    x = 176,935,740.59/14,113.68
  6. Step 6: Final answer
    x = 12,536.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.