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Finding the Fourth Proportional to 17,802.63, 24,564.07 and 9,843.32

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Solution

The fourth proportional to 17,802.63, 24,564.07 and 9,843.32 is: 13,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.63 : 24,564.07 = 9,843.32 : x
  2. Step 2: Convert to fraction form
    17,802.63/24,564.07 = 9,843.32/x
  3. Step 3: Cross multiply
    17,802.63x = 24,564.07 × 9,843.32
  4. Step 4: Simplify right side
    17,802.63x = 241,792,001.51
  5. Step 5: Solve for x
    x = 241,792,001.51/17,802.63
  6. Step 6: Final answer
    x = 13,581.81

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1.5x scale

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.