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Finding the Fourth Proportional to 19,282.72, 28,904.64 and 14,656

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Solution

The fourth proportional to 19,282.72, 28,904.64 and 14,656 is: 21,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282.72 : 28,904.64 = 14,656 : x
  2. Step 2: Convert to fraction form
    19,282.72/28,904.64 = 14,656/x
  3. Step 3: Cross multiply
    19,282.72x = 28,904.64 × 14,656
  4. Step 4: Simplify right side
    19,282.72x = 423,626,403.84
  5. Step 5: Solve for x
    x = 423,626,403.84/19,282.72
  6. Step 6: Final answer
    x = 21,969.22

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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.