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Finding the Fourth Proportional to 21,897.04, 32,846.08 and 7,106

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Solution

The fourth proportional to 21,897.04, 32,846.08 and 7,106 is: 10,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897.04 : 32,846.08 = 7,106 : x
  2. Step 2: Convert to fraction form
    21,897.04/32,846.08 = 7,106/x
  3. Step 3: Cross multiply
    21,897.04x = 32,846.08 × 7,106
  4. Step 4: Simplify right side
    21,897.04x = 233,404,244.48
  5. Step 5: Solve for x
    x = 233,404,244.48/21,897.04
  6. Step 6: Final answer
    x = 10,659.17

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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.