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Finding the Fourth Proportional to 22,365.64, 30,871.46 and 14,407.84

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Solution

The fourth proportional to 22,365.64, 30,871.46 and 14,407.84 is: 19,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365.64 : 30,871.46 = 14,407.84 : x
  2. Step 2: Convert to fraction form
    22,365.64/30,871.46 = 14,407.84/x
  3. Step 3: Cross multiply
    22,365.64x = 30,871.46 × 14,407.84
  4. Step 4: Simplify right side
    22,365.64x = 444,791,056.25
  5. Step 5: Solve for x
    x = 444,791,056.25/22,365.64
  6. Step 6: Final answer
    x = 19,887.25

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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.