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Finding the Fourth Proportional to 19,783.47, 27,301.67 and 10,830.95

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Solution

The fourth proportional to 19,783.47, 27,301.67 and 10,830.95 is: 14,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.47 : 27,301.67 = 10,830.95 : x
  2. Step 2: Convert to fraction form
    19,783.47/27,301.67 = 10,830.95/x
  3. Step 3: Cross multiply
    19,783.47x = 27,301.67 × 10,830.95
  4. Step 4: Simplify right side
    19,783.47x = 295,702,832.02
  5. Step 5: Solve for x
    x = 295,702,832.02/19,783.47
  6. Step 6: Final answer
    x = 14,946.96

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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.