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Finding the Fourth Proportional to 17,393.84, 24,000.36 and 9,838.16

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Solution

The fourth proportional to 17,393.84, 24,000.36 and 9,838.16 is: 13,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,393.84 : 24,000.36 = 9,838.16 : x
  2. Step 2: Convert to fraction form
    17,393.84/24,000.36 = 9,838.16/x
  3. Step 3: Cross multiply
    17,393.84x = 24,000.36 × 9,838.16
  4. Step 4: Simplify right side
    17,393.84x = 236,119,381.74
  5. Step 5: Solve for x
    x = 236,119,381.74/17,393.84
  6. Step 6: Final answer
    x = 13,574.89

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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.