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Finding the Fourth Proportional to 13,853.72, 19,117.22 and 7,566.08

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Solution

The fourth proportional to 13,853.72, 19,117.22 and 7,566.08 is: 10,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.72 : 19,117.22 = 7,566.08 : x
  2. Step 2: Convert to fraction form
    13,853.72/19,117.22 = 7,566.08/x
  3. Step 3: Cross multiply
    13,853.72x = 19,117.22 × 7,566.08
  4. Step 4: Simplify right side
    13,853.72x = 144,642,415.90
  5. Step 5: Solve for x
    x = 144,642,415.90/13,853.72
  6. Step 6: Final answer
    x = 10,440.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.