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Finding the Fourth Proportional to 13,182.75, 19,774.08 and 4,417.65

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Solution

The fourth proportional to 13,182.75, 19,774.08 and 4,417.65 is: 6,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.75 : 19,774.08 = 4,417.65 : x
  2. Step 2: Convert to fraction form
    13,182.75/19,774.08 = 4,417.65/x
  3. Step 3: Cross multiply
    13,182.75x = 19,774.08 × 4,417.65
  4. Step 4: Simplify right side
    13,182.75x = 87,354,964.51
  5. Step 5: Solve for x
    x = 87,354,964.51/13,182.75
  6. Step 6: Final answer
    x = 6,626.46

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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.