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Finding the Fourth Proportional to 13,430.50, 20,143.59 and 9,523.06

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Solution

The fourth proportional to 13,430.50, 20,143.59 and 9,523.06 is: 14,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.50 : 20,143.59 = 9,523.06 : x
  2. Step 2: Convert to fraction form
    13,430.50/20,143.59 = 9,523.06/x
  3. Step 3: Cross multiply
    13,430.50x = 20,143.59 × 9,523.06
  4. Step 4: Simplify right side
    13,430.50x = 191,828,616.19
  5. Step 5: Solve for x
    x = 191,828,616.19/13,430.50
  6. Step 6: Final answer
    x = 14,283.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.