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Finding the Fourth Proportional to 17,153.37, 25,730.06 and 9,657.50

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Solution

The fourth proportional to 17,153.37, 25,730.06 and 9,657.50 is: 14,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,153.37 : 25,730.06 = 9,657.50 : x
  2. Step 2: Convert to fraction form
    17,153.37/25,730.06 = 9,657.50/x
  3. Step 3: Cross multiply
    17,153.37x = 25,730.06 × 9,657.50
  4. Step 4: Simplify right side
    17,153.37x = 248,487,877.51
  5. Step 5: Solve for x
    x = 248,487,877.51/17,153.37
  6. Step 6: Final answer
    x = 14,486.24

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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.