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Finding the Fourth Proportional to 19,307.17, 28,963.14 and 6,824.62

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Solution

The fourth proportional to 19,307.17, 28,963.14 and 6,824.62 is: 10,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,307.17 : 28,963.14 = 6,824.62 : x
  2. Step 2: Convert to fraction form
    19,307.17/28,963.14 = 6,824.62/x
  3. Step 3: Cross multiply
    19,307.17x = 28,963.14 × 6,824.62
  4. Step 4: Simplify right side
    19,307.17x = 197,662,424.51
  5. Step 5: Solve for x
    x = 197,662,424.51/19,307.17
  6. Step 6: Final answer
    x = 10,237.77

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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.