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Finding the Fourth Proportional to 29,685.69, 40,966.44 and 16,258.17

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Solution

The fourth proportional to 29,685.69, 40,966.44 and 16,258.17 is: 22,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.69 : 40,966.44 = 16,258.17 : x
  2. Step 2: Convert to fraction form
    29,685.69/40,966.44 = 16,258.17/x
  3. Step 3: Cross multiply
    29,685.69x = 40,966.44 × 16,258.17
  4. Step 4: Simplify right side
    29,685.69x = 666,039,345.81
  5. Step 5: Solve for x
    x = 666,039,345.81/29,685.69
  6. Step 6: Final answer
    x = 22,436.38

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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.