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Finding the Fourth Proportional to 13,117.88, 19,646 and 11,407.44

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Solution

The fourth proportional to 13,117.88, 19,646 and 11,407.44 is: 17,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.88 : 19,646 = 11,407.44 : x
  2. Step 2: Convert to fraction form
    13,117.88/19,646 = 11,407.44/x
  3. Step 3: Cross multiply
    13,117.88x = 19,646 × 11,407.44
  4. Step 4: Simplify right side
    13,117.88x = 224,110,566.24
  5. Step 5: Solve for x
    x = 224,110,566.24/13,117.88
  6. Step 6: Final answer
    x = 17,084.36

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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.