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Finding the Fourth Proportional to 17,435.76, 24,061.23 and 9,477.78

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Solution

The fourth proportional to 17,435.76, 24,061.23 and 9,477.78 is: 13,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,435.76 : 24,061.23 = 9,477.78 : x
  2. Step 2: Convert to fraction form
    17,435.76/24,061.23 = 9,477.78/x
  3. Step 3: Cross multiply
    17,435.76x = 24,061.23 × 9,477.78
  4. Step 4: Simplify right side
    17,435.76x = 228,047,044.47
  5. Step 5: Solve for x
    x = 228,047,044.47/17,435.76
  6. Step 6: Final answer
    x = 13,079.27

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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.