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Finding the Fourth Proportional to 19,784.59, 27,301.89 and 10,831.93

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Solution

The fourth proportional to 19,784.59, 27,301.89 and 10,831.93 is: 14,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.59 : 27,301.89 = 10,831.93 : x
  2. Step 2: Convert to fraction form
    19,784.59/27,301.89 = 10,831.93/x
  3. Step 3: Cross multiply
    19,784.59x = 27,301.89 × 10,831.93
  4. Step 4: Simplify right side
    19,784.59x = 295,732,133.71
  5. Step 5: Solve for x
    x = 295,732,133.71/19,784.59
  6. Step 6: Final answer
    x = 14,947.60

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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.