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Finding the Fourth Proportional to 23,038.76, 34,574.94 and 9,191.72

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Solution

The fourth proportional to 23,038.76, 34,574.94 and 9,191.72 is: 13,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.76 : 34,574.94 = 9,191.72 : x
  2. Step 2: Convert to fraction form
    23,038.76/34,574.94 = 9,191.72/x
  3. Step 3: Cross multiply
    23,038.76x = 34,574.94 × 9,191.72
  4. Step 4: Simplify right side
    23,038.76x = 317,803,167.50
  5. Step 5: Solve for x
    x = 317,803,167.50/23,038.76
  6. Step 6: Final answer
    x = 13,794.28

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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.