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Finding the Fourth Proportional to 13,256.16, 19,882.08 and 4,020

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Solution

The fourth proportional to 13,256.16, 19,882.08 and 4,020 is: 6,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.16 : 19,882.08 = 4,020 : x
  2. Step 2: Convert to fraction form
    13,256.16/19,882.08 = 4,020/x
  3. Step 3: Cross multiply
    13,256.16x = 19,882.08 × 4,020
  4. Step 4: Simplify right side
    13,256.16x = 79,925,961.60
  5. Step 5: Solve for x
    x = 79,925,961.60/13,256.16
  6. Step 6: Final answer
    x = 6,029.34

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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.