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Finding the Fourth Proportional to 23,234, 32,060.76 and 13,804.88

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Solution

The fourth proportional to 23,234, 32,060.76 and 13,804.88 is: 19,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234 : 32,060.76 = 13,804.88 : x
  2. Step 2: Convert to fraction form
    23,234/32,060.76 = 13,804.88/x
  3. Step 3: Cross multiply
    23,234x = 32,060.76 × 13,804.88
  4. Step 4: Simplify right side
    23,234x = 442,594,944.51
  5. Step 5: Solve for x
    x = 442,594,944.51/23,234
  6. Step 6: Final answer
    x = 19,049.45

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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.