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Finding the Fourth Proportional to 19,782.47, 27,299.83 and 10,830.52

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Solution

The fourth proportional to 19,782.47, 27,299.83 and 10,830.52 is: 14,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.47 : 27,299.83 = 10,830.52 : x
  2. Step 2: Convert to fraction form
    19,782.47/27,299.83 = 10,830.52/x
  3. Step 3: Cross multiply
    19,782.47x = 27,299.83 × 10,830.52
  4. Step 4: Simplify right side
    19,782.47x = 295,671,259.49
  5. Step 5: Solve for x
    x = 295,671,259.49/19,782.47
  6. Step 6: Final answer
    x = 14,946.12

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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.