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Finding the Fourth Proportional to 17,653.65, 24,356.08 and 10,094.60

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Solution

The fourth proportional to 17,653.65, 24,356.08 and 10,094.60 is: 13,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.65 : 24,356.08 = 10,094.60 : x
  2. Step 2: Convert to fraction form
    17,653.65/24,356.08 = 10,094.60/x
  3. Step 3: Cross multiply
    17,653.65x = 24,356.08 × 10,094.60
  4. Step 4: Simplify right side
    17,653.65x = 245,864,712.91
  5. Step 5: Solve for x
    x = 245,864,712.91/17,653.65
  6. Step 6: Final answer
    x = 13,927.13

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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.