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Finding the Fourth Proportional to 13,178.57, 19,763.06 and 4,411.40

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Solution

The fourth proportional to 13,178.57, 19,763.06 and 4,411.40 is: 6,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.57 : 19,763.06 = 4,411.40 : x
  2. Step 2: Convert to fraction form
    13,178.57/19,763.06 = 4,411.40/x
  3. Step 3: Cross multiply
    13,178.57x = 19,763.06 × 4,411.40
  4. Step 4: Simplify right side
    13,178.57x = 87,182,642.01
  5. Step 5: Solve for x
    x = 87,182,642.01/13,178.57
  6. Step 6: Final answer
    x = 6,615.49

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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.