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Finding the Fourth Proportional to 17,623.20, 24,317.76 and 10,070.01

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Solution

The fourth proportional to 17,623.20, 24,317.76 and 10,070.01 is: 13,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.20 : 24,317.76 = 10,070.01 : x
  2. Step 2: Convert to fraction form
    17,623.20/24,317.76 = 10,070.01/x
  3. Step 3: Cross multiply
    17,623.20x = 24,317.76 × 10,070.01
  4. Step 4: Simplify right side
    17,623.20x = 244,880,086.38
  5. Step 5: Solve for x
    x = 244,880,086.38/17,623.20
  6. Step 6: Final answer
    x = 13,895.32

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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.