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Finding the Fourth Proportional to 13,097.47, 19,646.41 and 7,290.98

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Solution

The fourth proportional to 13,097.47, 19,646.41 and 7,290.98 is: 10,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.47 : 19,646.41 = 7,290.98 : x
  2. Step 2: Convert to fraction form
    13,097.47/19,646.41 = 7,290.98/x
  3. Step 3: Cross multiply
    13,097.47x = 19,646.41 × 7,290.98
  4. Step 4: Simplify right side
    13,097.47x = 143,241,595.04
  5. Step 5: Solve for x
    x = 143,241,595.04/13,097.47
  6. Step 6: Final answer
    x = 10,936.59

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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.