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Finding the Fourth Proportional to 19,570.64, 29,341.92 and 9,176.72

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Solution

The fourth proportional to 19,570.64, 29,341.92 and 9,176.72 is: 13,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.64 : 29,341.92 = 9,176.72 : x
  2. Step 2: Convert to fraction form
    19,570.64/29,341.92 = 9,176.72/x
  3. Step 3: Cross multiply
    19,570.64x = 29,341.92 × 9,176.72
  4. Step 4: Simplify right side
    19,570.64x = 269,262,584.10
  5. Step 5: Solve for x
    x = 269,262,584.10/19,570.64
  6. Step 6: Final answer
    x = 13,758.50

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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.