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Finding the Fourth Proportional to 15,097.56, 22,646.64 and 5,237.16

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Solution

The fourth proportional to 15,097.56, 22,646.64 and 5,237.16 is: 7,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.56 : 22,646.64 = 5,237.16 : x
  2. Step 2: Convert to fraction form
    15,097.56/22,646.64 = 5,237.16/x
  3. Step 3: Cross multiply
    15,097.56x = 22,646.64 × 5,237.16
  4. Step 4: Simplify right side
    15,097.56x = 118,604,077.14
  5. Step 5: Solve for x
    x = 118,604,077.14/15,097.56
  6. Step 6: Final answer
    x = 7,855.84

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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.