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Finding the Fourth Proportional to 17,435.84, 24,061.53 and 9,478.07

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Solution

The fourth proportional to 17,435.84, 24,061.53 and 9,478.07 is: 13,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,435.84 : 24,061.53 = 9,478.07 : x
  2. Step 2: Convert to fraction form
    17,435.84/24,061.53 = 9,478.07/x
  3. Step 3: Cross multiply
    17,435.84x = 24,061.53 × 9,478.07
  4. Step 4: Simplify right side
    17,435.84x = 228,056,793.32
  5. Step 5: Solve for x
    x = 228,056,793.32/17,435.84
  6. Step 6: Final answer
    x = 13,079.77

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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.