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Finding the Fourth Proportional to 13,109.84, 19,642.86 and 5,703.20

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Solution

The fourth proportional to 13,109.84, 19,642.86 and 5,703.20 is: 8,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.84 : 19,642.86 = 5,703.20 : x
  2. Step 2: Convert to fraction form
    13,109.84/19,642.86 = 5,703.20/x
  3. Step 3: Cross multiply
    13,109.84x = 19,642.86 × 5,703.20
  4. Step 4: Simplify right side
    13,109.84x = 112,027,159.15
  5. Step 5: Solve for x
    x = 112,027,159.15/13,109.84
  6. Step 6: Final answer
    x = 8,545.27

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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.