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Finding the Fourth Proportional to 21,897.54, 32,831.33 and 7,857.25

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Solution

The fourth proportional to 21,897.54, 32,831.33 and 7,857.25 is: 11,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897.54 : 32,831.33 = 7,857.25 : x
  2. Step 2: Convert to fraction form
    21,897.54/32,831.33 = 7,857.25/x
  3. Step 3: Cross multiply
    21,897.54x = 32,831.33 × 7,857.25
  4. Step 4: Simplify right side
    21,897.54x = 257,964,030.95
  5. Step 5: Solve for x
    x = 257,964,030.95/21,897.54
  6. Step 6: Final answer
    x = 11,780.50

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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.