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Finding the Fourth Proportional to 17,803.84, 24,568.51 and 9,737.28

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Solution

The fourth proportional to 17,803.84, 24,568.51 and 9,737.28 is: 13,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,803.84 : 24,568.51 = 9,737.28 : x
  2. Step 2: Convert to fraction form
    17,803.84/24,568.51 = 9,737.28/x
  3. Step 3: Cross multiply
    17,803.84x = 24,568.51 × 9,737.28
  4. Step 4: Simplify right side
    17,803.84x = 239,230,461.05
  5. Step 5: Solve for x
    x = 239,230,461.05/17,803.84
  6. Step 6: Final answer
    x = 13,437.01

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1.5x scale

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.