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Finding the Fourth Proportional to 19,430.64, 29,138.56 and 6,948.36

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Solution

The fourth proportional to 19,430.64, 29,138.56 and 6,948.36 is: 10,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,430.64 : 29,138.56 = 6,948.36 : x
  2. Step 2: Convert to fraction form
    19,430.64/29,138.56 = 6,948.36/x
  3. Step 3: Cross multiply
    19,430.64x = 29,138.56 × 6,948.36
  4. Step 4: Simplify right side
    19,430.64x = 202,465,204.76
  5. Step 5: Solve for x
    x = 202,465,204.76/19,430.64
  6. Step 6: Final answer
    x = 10,419.89

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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.