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Finding the Fourth Proportional to 12,993.92, 19,496.64 and 4,784

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Solution

The fourth proportional to 12,993.92, 19,496.64 and 4,784 is: 7,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.92 : 19,496.64 = 4,784 : x
  2. Step 2: Convert to fraction form
    12,993.92/19,496.64 = 4,784/x
  3. Step 3: Cross multiply
    12,993.92x = 19,496.64 × 4,784
  4. Step 4: Simplify right side
    12,993.92x = 93,271,925.76
  5. Step 5: Solve for x
    x = 93,271,925.76/12,993.92
  6. Step 6: Final answer
    x = 7,178.12

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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.