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Finding the Fourth Proportional to 13,097.48, 19,646.24 and 9,219.20

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Solution

The fourth proportional to 13,097.48, 19,646.24 and 9,219.20 is: 13,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.48 : 19,646.24 = 9,219.20 : x
  2. Step 2: Convert to fraction form
    13,097.48/19,646.24 = 9,219.20/x
  3. Step 3: Cross multiply
    13,097.48x = 19,646.24 × 9,219.20
  4. Step 4: Simplify right side
    13,097.48x = 181,122,615.81
  5. Step 5: Solve for x
    x = 181,122,615.81/13,097.48
  6. Step 6: Final answer
    x = 13,828.81

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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.