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Finding the Fourth Proportional to 19,783.28, 27,301.25 and 10,830.63

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Solution

The fourth proportional to 19,783.28, 27,301.25 and 10,830.63 is: 14,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.28 : 27,301.25 = 10,830.63 : x
  2. Step 2: Convert to fraction form
    19,783.28/27,301.25 = 10,830.63/x
  3. Step 3: Cross multiply
    19,783.28x = 27,301.25 × 10,830.63
  4. Step 4: Simplify right side
    19,783.28x = 295,689,683.13
  5. Step 5: Solve for x
    x = 295,689,683.13/19,783.28
  6. Step 6: Final answer
    x = 14,946.45

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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.