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Finding the Fourth Proportional to 15,903.76, 21,948.20 and 9,189.68

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Solution

The fourth proportional to 15,903.76, 21,948.20 and 9,189.68 is: 12,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.76 : 21,948.20 = 9,189.68 : x
  2. Step 2: Convert to fraction form
    15,903.76/21,948.20 = 9,189.68/x
  3. Step 3: Cross multiply
    15,903.76x = 21,948.20 × 9,189.68
  4. Step 4: Simplify right side
    15,903.76x = 201,696,934.58
  5. Step 5: Solve for x
    x = 201,696,934.58/15,903.76
  6. Step 6: Final answer
    x = 12,682.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.