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Finding the Fourth Proportional to 15,970.54, 23,952.72 and 6,107.50

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Solution

The fourth proportional to 15,970.54, 23,952.72 and 6,107.50 is: 9,160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.54 : 23,952.72 = 6,107.50 : x
  2. Step 2: Convert to fraction form
    15,970.54/23,952.72 = 6,107.50/x
  3. Step 3: Cross multiply
    15,970.54x = 23,952.72 × 6,107.50
  4. Step 4: Simplify right side
    15,970.54x = 146,291,237.40
  5. Step 5: Solve for x
    x = 146,291,237.40/15,970.54
  6. Step 6: Final answer
    x = 9,160.07

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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.