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Finding the Fourth Proportional to 17,783.84, 24,541.04 and 9,825.90

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Solution

The fourth proportional to 17,783.84, 24,541.04 and 9,825.90 is: 13,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.84 : 24,541.04 = 9,825.90 : x
  2. Step 2: Convert to fraction form
    17,783.84/24,541.04 = 9,825.90/x
  3. Step 3: Cross multiply
    17,783.84x = 24,541.04 × 9,825.90
  4. Step 4: Simplify right side
    17,783.84x = 241,137,804.94
  5. Step 5: Solve for x
    x = 241,137,804.94/17,783.84
  6. Step 6: Final answer
    x = 13,559.38

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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.