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Finding the Fourth Proportional to 17,430.53, 24,054.06 and 9,472.77

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Solution

The fourth proportional to 17,430.53, 24,054.06 and 9,472.77 is: 13,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.53 : 24,054.06 = 9,472.77 : x
  2. Step 2: Convert to fraction form
    17,430.53/24,054.06 = 9,472.77/x
  3. Step 3: Cross multiply
    17,430.53x = 24,054.06 × 9,472.77
  4. Step 4: Simplify right side
    17,430.53x = 227,858,577.95
  5. Step 5: Solve for x
    x = 227,858,577.95/17,430.53
  6. Step 6: Final answer
    x = 13,072.39

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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.