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Finding the Fourth Proportional to 30,207.24, 45,245.16 and 14,592

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Solution

The fourth proportional to 30,207.24, 45,245.16 and 14,592 is: 21,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.24 : 45,245.16 = 14,592 : x
  2. Step 2: Convert to fraction form
    30,207.24/45,245.16 = 14,592/x
  3. Step 3: Cross multiply
    30,207.24x = 45,245.16 × 14,592
  4. Step 4: Simplify right side
    30,207.24x = 660,217,374.72
  5. Step 5: Solve for x
    x = 660,217,374.72/30,207.24
  6. Step 6: Final answer
    x = 21,856.26

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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.