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Finding the Fourth Proportional to 23,271, 32,100.93 and 14,316.75

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Solution

The fourth proportional to 23,271, 32,100.93 and 14,316.75 is: 19,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,271 : 32,100.93 = 14,316.75 : x
  2. Step 2: Convert to fraction form
    23,271/32,100.93 = 14,316.75/x
  3. Step 3: Cross multiply
    23,271x = 32,100.93 × 14,316.75
  4. Step 4: Simplify right side
    23,271x = 459,580,989.58
  5. Step 5: Solve for x
    x = 459,580,989.58/23,271
  6. Step 6: Final answer
    x = 19,749.09

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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.