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Finding the Fourth Proportional to 17,456.70, 24,089.54 and 9,498.94

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Solution

The fourth proportional to 17,456.70, 24,089.54 and 9,498.94 is: 13,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.70 : 24,089.54 = 9,498.94 : x
  2. Step 2: Convert to fraction form
    17,456.70/24,089.54 = 9,498.94/x
  3. Step 3: Cross multiply
    17,456.70x = 24,089.54 × 9,498.94
  4. Step 4: Simplify right side
    17,456.70x = 228,824,987.37
  5. Step 5: Solve for x
    x = 228,824,987.37/17,456.70
  6. Step 6: Final answer
    x = 13,108.14

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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.