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Finding the Fourth Proportional to 13,297.64, 19,862.28 and 10,345.19

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Solution

The fourth proportional to 13,297.64, 19,862.28 and 10,345.19 is: 15,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.64 : 19,862.28 = 10,345.19 : x
  2. Step 2: Convert to fraction form
    13,297.64/19,862.28 = 10,345.19/x
  3. Step 3: Cross multiply
    13,297.64x = 19,862.28 × 10,345.19
  4. Step 4: Simplify right side
    13,297.64x = 205,478,961.12
  5. Step 5: Solve for x
    x = 205,478,961.12/13,297.64
  6. Step 6: Final answer
    x = 15,452.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.