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Finding the Fourth Proportional to 12,965.40, 19,445.40 and 5,570.10

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Solution

The fourth proportional to 12,965.40, 19,445.40 and 5,570.10 is: 8,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.40 : 19,445.40 = 5,570.10 : x
  2. Step 2: Convert to fraction form
    12,965.40/19,445.40 = 5,570.10/x
  3. Step 3: Cross multiply
    12,965.40x = 19,445.40 × 5,570.10
  4. Step 4: Simplify right side
    12,965.40x = 108,312,822.54
  5. Step 5: Solve for x
    x = 108,312,822.54/12,965.40
  6. Step 6: Final answer
    x = 8,353.99

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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.