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Finding the Fourth Proportional to 19,784.78, 27,303.32 and 10,832.13

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Solution

The fourth proportional to 19,784.78, 27,303.32 and 10,832.13 is: 14,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.78 : 27,303.32 = 10,832.13 : x
  2. Step 2: Convert to fraction form
    19,784.78/27,303.32 = 10,832.13/x
  3. Step 3: Cross multiply
    19,784.78x = 27,303.32 × 10,832.13
  4. Step 4: Simplify right side
    19,784.78x = 295,753,111.67
  5. Step 5: Solve for x
    x = 295,753,111.67/19,784.78
  6. Step 6: Final answer
    x = 14,948.52

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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.