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Finding the Fourth Proportional to 13,078.64, 19,622.80 and 4,759.32

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Solution

The fourth proportional to 13,078.64, 19,622.80 and 4,759.32 is: 7,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.64 : 19,622.80 = 4,759.32 : x
  2. Step 2: Convert to fraction form
    13,078.64/19,622.80 = 4,759.32/x
  3. Step 3: Cross multiply
    13,078.64x = 19,622.80 × 4,759.32
  4. Step 4: Simplify right side
    13,078.64x = 93,391,184.50
  5. Step 5: Solve for x
    x = 93,391,184.50/13,078.64
  6. Step 6: Final answer
    x = 7,140.74

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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.