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Finding the Fourth Proportional to 24,945.36, 34,430.50 and 14,341.16

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Solution

The fourth proportional to 24,945.36, 34,430.50 and 14,341.16 is: 19,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,945.36 : 34,430.50 = 14,341.16 : x
  2. Step 2: Convert to fraction form
    24,945.36/34,430.50 = 14,341.16/x
  3. Step 3: Cross multiply
    24,945.36x = 34,430.50 × 14,341.16
  4. Step 4: Simplify right side
    24,945.36x = 493,773,309.38
  5. Step 5: Solve for x
    x = 493,773,309.38/24,945.36
  6. Step 6: Final answer
    x = 19,794.19

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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.