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Finding the Fourth Proportional to 21,688.47, 32,532.71 and 6,897.39

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Solution

The fourth proportional to 21,688.47, 32,532.71 and 6,897.39 is: 10,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.47 : 32,532.71 = 6,897.39 : x
  2. Step 2: Convert to fraction form
    21,688.47/32,532.71 = 6,897.39/x
  3. Step 3: Cross multiply
    21,688.47x = 32,532.71 × 6,897.39
  4. Step 4: Simplify right side
    21,688.47x = 224,390,632.14
  5. Step 5: Solve for x
    x = 224,390,632.14/21,688.47
  6. Step 6: Final answer
    x = 10,346.08

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