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Finding the Fourth Proportional to 17,430.56, 24,054.06 and 9,980

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Solution

The fourth proportional to 17,430.56, 24,054.06 and 9,980 is: 13,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.56 : 24,054.06 = 9,980 : x
  2. Step 2: Convert to fraction form
    17,430.56/24,054.06 = 9,980/x
  3. Step 3: Cross multiply
    17,430.56x = 24,054.06 × 9,980
  4. Step 4: Simplify right side
    17,430.56x = 240,059,518.80
  5. Step 5: Solve for x
    x = 240,059,518.80/17,430.56
  6. Step 6: Final answer
    x = 13,772.34

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