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Finding the Fourth Proportional to 13,097.58, 19,646.01 and 5,702.03

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Solution

The fourth proportional to 13,097.58, 19,646.01 and 5,702.03 is: 8,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.58 : 19,646.01 = 5,702.03 : x
  2. Step 2: Convert to fraction form
    13,097.58/19,646.01 = 5,702.03/x
  3. Step 3: Cross multiply
    13,097.58x = 19,646.01 × 5,702.03
  4. Step 4: Simplify right side
    13,097.58x = 112,022,040.17
  5. Step 5: Solve for x
    x = 112,022,040.17/13,097.58
  6. Step 6: Final answer
    x = 8,552.88

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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.