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Finding the Fourth Proportional to 13,001.58, 19,488.60 and 6,419.52

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Solution

The fourth proportional to 13,001.58, 19,488.60 and 6,419.52 is: 9,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.58 : 19,488.60 = 6,419.52 : x
  2. Step 2: Convert to fraction form
    13,001.58/19,488.60 = 6,419.52/x
  3. Step 3: Cross multiply
    13,001.58x = 19,488.60 × 6,419.52
  4. Step 4: Simplify right side
    13,001.58x = 125,107,457.47
  5. Step 5: Solve for x
    x = 125,107,457.47/13,001.58
  6. Step 6: Final answer
    x = 9,622.48

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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.