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Finding the Fourth Proportional to 12,831.74, 17,707.77 and 7,526.51

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Solution

The fourth proportional to 12,831.74, 17,707.77 and 7,526.51 is: 10,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.74 : 17,707.77 = 7,526.51 : x
  2. Step 2: Convert to fraction form
    12,831.74/17,707.77 = 7,526.51/x
  3. Step 3: Cross multiply
    12,831.74x = 17,707.77 × 7,526.51
  4. Step 4: Simplify right side
    12,831.74x = 133,277,619.44
  5. Step 5: Solve for x
    x = 133,277,619.44/12,831.74
  6. Step 6: Final answer
    x = 10,386.56

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