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Finding the Fourth Proportional to 17,248.50, 23,802.93 and 9,796.50

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Solution

The fourth proportional to 17,248.50, 23,802.93 and 9,796.50 is: 13,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,248.50 : 23,802.93 = 9,796.50 : x
  2. Step 2: Convert to fraction form
    17,248.50/23,802.93 = 9,796.50/x
  3. Step 3: Cross multiply
    17,248.50x = 23,802.93 × 9,796.50
  4. Step 4: Simplify right side
    17,248.50x = 233,185,403.75
  5. Step 5: Solve for x
    x = 233,185,403.75/17,248.50
  6. Step 6: Final answer
    x = 13,519.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.