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Finding the Fourth Proportional to 17,970.64, 26,946.75 and 9,657.65

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Solution

The fourth proportional to 17,970.64, 26,946.75 and 9,657.65 is: 14,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.64 : 26,946.75 = 9,657.65 : x
  2. Step 2: Convert to fraction form
    17,970.64/26,946.75 = 9,657.65/x
  3. Step 3: Cross multiply
    17,970.64x = 26,946.75 × 9,657.65
  4. Step 4: Simplify right side
    17,970.64x = 260,242,383.72
  5. Step 5: Solve for x
    x = 260,242,383.72/17,970.64
  6. Step 6: Final answer
    x = 14,481.53

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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.