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Finding the Fourth Proportional to 17,736.21, 24,475.71 and 13,219.11

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Solution

The fourth proportional to 17,736.21, 24,475.71 and 13,219.11 is: 18,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736.21 : 24,475.71 = 13,219.11 : x
  2. Step 2: Convert to fraction form
    17,736.21/24,475.71 = 13,219.11/x
  3. Step 3: Cross multiply
    17,736.21x = 24,475.71 × 13,219.11
  4. Step 4: Simplify right side
    17,736.21x = 323,547,102.82
  5. Step 5: Solve for x
    x = 323,547,102.82/17,736.21
  6. Step 6: Final answer
    x = 18,242.18

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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.