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Finding the Fourth Proportional to 14,806.16, 20,430.53 and 9,508.16

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Solution

The fourth proportional to 14,806.16, 20,430.53 and 9,508.16 is: 13,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.16 : 20,430.53 = 9,508.16 : x
  2. Step 2: Convert to fraction form
    14,806.16/20,430.53 = 9,508.16/x
  3. Step 3: Cross multiply
    14,806.16x = 20,430.53 × 9,508.16
  4. Step 4: Simplify right side
    14,806.16x = 194,256,645.97
  5. Step 5: Solve for x
    x = 194,256,645.97/14,806.16
  6. Step 6: Final answer
    x = 13,119.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.