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Finding the Fourth Proportional to 17,113.64, 23,614.49 and 9,559.01

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Solution

The fourth proportional to 17,113.64, 23,614.49 and 9,559.01 is: 13,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113.64 : 23,614.49 = 9,559.01 : x
  2. Step 2: Convert to fraction form
    17,113.64/23,614.49 = 9,559.01/x
  3. Step 3: Cross multiply
    17,113.64x = 23,614.49 × 9,559.01
  4. Step 4: Simplify right side
    17,113.64x = 225,730,980.19
  5. Step 5: Solve for x
    x = 225,730,980.19/17,113.64
  6. Step 6: Final answer
    x = 13,190.12

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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.