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Finding the Fourth Proportional to 12,759.36, 19,045.41 and 11,820

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Solution

The fourth proportional to 12,759.36, 19,045.41 and 11,820 is: 17,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.36 : 19,045.41 = 11,820 : x
  2. Step 2: Convert to fraction form
    12,759.36/19,045.41 = 11,820/x
  3. Step 3: Cross multiply
    12,759.36x = 19,045.41 × 11,820
  4. Step 4: Simplify right side
    12,759.36x = 225,116,746.20
  5. Step 5: Solve for x
    x = 225,116,746.20/12,759.36
  6. Step 6: Final answer
    x = 17,643.26

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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.