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Finding the Fourth Proportional to 19,902.17, 27,458.14 and 12,345.77

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Solution

The fourth proportional to 19,902.17, 27,458.14 and 12,345.77 is: 17,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.17 : 27,458.14 = 12,345.77 : x
  2. Step 2: Convert to fraction form
    19,902.17/27,458.14 = 12,345.77/x
  3. Step 3: Cross multiply
    19,902.17x = 27,458.14 × 12,345.77
  4. Step 4: Simplify right side
    19,902.17x = 338,991,881.07
  5. Step 5: Solve for x
    x = 338,991,881.07/19,902.17
  6. Step 6: Final answer
    x = 17,032.91

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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.