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Finding the Fourth Proportional to 19,616, 27,070.08 and 10,784

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Solution

The fourth proportional to 19,616, 27,070.08 and 10,784 is: 14,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616 : 27,070.08 = 10,784 : x
  2. Step 2: Convert to fraction form
    19,616/27,070.08 = 10,784/x
  3. Step 3: Cross multiply
    19,616x = 27,070.08 × 10,784
  4. Step 4: Simplify right side
    19,616x = 291,923,742.72
  5. Step 5: Solve for x
    x = 291,923,742.72/19,616
  6. Step 6: Final answer
    x = 14,881.92

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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.