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Finding the Fourth Proportional to 13,210.24, 19,774.04 and 8,523.98

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Solution

The fourth proportional to 13,210.24, 19,774.04 and 8,523.98 is: 12,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.24 : 19,774.04 = 8,523.98 : x
  2. Step 2: Convert to fraction form
    13,210.24/19,774.04 = 8,523.98/x
  3. Step 3: Cross multiply
    13,210.24x = 19,774.04 × 8,523.98
  4. Step 4: Simplify right side
    13,210.24x = 168,553,521.48
  5. Step 5: Solve for x
    x = 168,553,521.48/13,210.24
  6. Step 6: Final answer
    x = 12,759.31

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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.