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Finding the Fourth Proportional to 19,827.80, 29,746.38 and 7,356.68

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Solution

The fourth proportional to 19,827.80, 29,746.38 and 7,356.68 is: 11,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.80 : 29,746.38 = 7,356.68 : x
  2. Step 2: Convert to fraction form
    19,827.80/29,746.38 = 7,356.68/x
  3. Step 3: Cross multiply
    19,827.80x = 29,746.38 × 7,356.68
  4. Step 4: Simplify right side
    19,827.80x = 218,834,598.82
  5. Step 5: Solve for x
    x = 218,834,598.82/19,827.80
  6. Step 6: Final answer
    x = 11,036.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.