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Finding the Fourth Proportional to 28,097.27, 42,166.64 and 13,306.16

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Solution

The fourth proportional to 28,097.27, 42,166.64 and 13,306.16 is: 19,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,097.27 : 42,166.64 = 13,306.16 : x
  2. Step 2: Convert to fraction form
    28,097.27/42,166.64 = 13,306.16/x
  3. Step 3: Cross multiply
    28,097.27x = 42,166.64 × 13,306.16
  4. Step 4: Simplify right side
    28,097.27x = 561,075,781.14
  5. Step 5: Solve for x
    x = 561,075,781.14/28,097.27
  6. Step 6: Final answer
    x = 19,969.05

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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.