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Finding the Fourth Proportional to 13,057.90, 19,590.24 and 5,660.65

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Solution

The fourth proportional to 13,057.90, 19,590.24 and 5,660.65 is: 8,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.90 : 19,590.24 = 5,660.65 : x
  2. Step 2: Convert to fraction form
    13,057.90/19,590.24 = 5,660.65/x
  3. Step 3: Cross multiply
    13,057.90x = 19,590.24 × 5,660.65
  4. Step 4: Simplify right side
    13,057.90x = 110,893,492.06
  5. Step 5: Solve for x
    x = 110,893,492.06/13,057.90
  6. Step 6: Final answer
    x = 8,492.44

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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.