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Finding the Fourth Proportional to 19,783.13, 27,300.59 and 10,830.78

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Solution

The fourth proportional to 19,783.13, 27,300.59 and 10,830.78 is: 14,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.13 : 27,300.59 = 10,830.78 : x
  2. Step 2: Convert to fraction form
    19,783.13/27,300.59 = 10,830.78/x
  3. Step 3: Cross multiply
    19,783.13x = 27,300.59 × 10,830.78
  4. Step 4: Simplify right side
    19,783.13x = 295,686,711.80
  5. Step 5: Solve for x
    x = 295,686,711.80/19,783.13
  6. Step 6: Final answer
    x = 14,946.41

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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.