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Finding the Fourth Proportional to 15,646.16, 21,591.56 and 8,475.90

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Solution

The fourth proportional to 15,646.16, 21,591.56 and 8,475.90 is: 11,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.16 : 21,591.56 = 8,475.90 : x
  2. Step 2: Convert to fraction form
    15,646.16/21,591.56 = 8,475.90/x
  3. Step 3: Cross multiply
    15,646.16x = 21,591.56 × 8,475.90
  4. Step 4: Simplify right side
    15,646.16x = 183,007,903.40
  5. Step 5: Solve for x
    x = 183,007,903.40/15,646.16
  6. Step 6: Final answer
    x = 11,696.67

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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.