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Finding the Fourth Proportional to 17,889.16, 24,686.54 and 9,931.46

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Solution

The fourth proportional to 17,889.16, 24,686.54 and 9,931.46 is: 13,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889.16 : 24,686.54 = 9,931.46 : x
  2. Step 2: Convert to fraction form
    17,889.16/24,686.54 = 9,931.46/x
  3. Step 3: Cross multiply
    17,889.16x = 24,686.54 × 9,931.46
  4. Step 4: Simplify right side
    17,889.16x = 245,173,384.55
  5. Step 5: Solve for x
    x = 245,173,384.55/17,889.16
  6. Step 6: Final answer
    x = 13,705.14

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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.