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Finding the Fourth Proportional to 13,264.16, 19,894.08 and 4,028

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Solution

The fourth proportional to 13,264.16, 19,894.08 and 4,028 is: 6,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.16 : 19,894.08 = 4,028 : x
  2. Step 2: Convert to fraction form
    13,264.16/19,894.08 = 4,028/x
  3. Step 3: Cross multiply
    13,264.16x = 19,894.08 × 4,028
  4. Step 4: Simplify right side
    13,264.16x = 80,133,354.24
  5. Step 5: Solve for x
    x = 80,133,354.24/13,264.16
  6. Step 6: Final answer
    x = 6,041.34

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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.