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Finding the Fourth Proportional to 23,047.34, 34,567.16 and 6,409.05

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Solution

The fourth proportional to 23,047.34, 34,567.16 and 6,409.05 is: 9,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.34 : 34,567.16 = 6,409.05 : x
  2. Step 2: Convert to fraction form
    23,047.34/34,567.16 = 6,409.05/x
  3. Step 3: Cross multiply
    23,047.34x = 34,567.16 × 6,409.05
  4. Step 4: Simplify right side
    23,047.34x = 221,542,592.35
  5. Step 5: Solve for x
    x = 221,542,592.35/23,047.34
  6. Step 6: Final answer
    x = 9,612.50

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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.