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Finding the Fourth Proportional to 15,960.16, 22,029.54 and 9,588.78

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Solution

The fourth proportional to 15,960.16, 22,029.54 and 9,588.78 is: 13,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960.16 : 22,029.54 = 9,588.78 : x
  2. Step 2: Convert to fraction form
    15,960.16/22,029.54 = 9,588.78/x
  3. Step 3: Cross multiply
    15,960.16x = 22,029.54 × 9,588.78
  4. Step 4: Simplify right side
    15,960.16x = 211,236,457.51
  5. Step 5: Solve for x
    x = 211,236,457.51/15,960.16
  6. Step 6: Final answer
    x = 13,235.23

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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.