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Finding the Fourth Proportional to 21,901, 32,844.54 and 7,106.50

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Solution

The fourth proportional to 21,901, 32,844.54 and 7,106.50 is: 10,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901 : 32,844.54 = 7,106.50 : x
  2. Step 2: Convert to fraction form
    21,901/32,844.54 = 7,106.50/x
  3. Step 3: Cross multiply
    21,901x = 32,844.54 × 7,106.50
  4. Step 4: Simplify right side
    21,901x = 233,409,723.51
  5. Step 5: Solve for x
    x = 233,409,723.51/21,901
  6. Step 6: Final answer
    x = 10,657.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.