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Finding the Fourth Proportional to 19,368.96, 29,028 and 8,957.76

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Solution

The fourth proportional to 19,368.96, 29,028 and 8,957.76 is: 13,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,368.96 : 29,028 = 8,957.76 : x
  2. Step 2: Convert to fraction form
    19,368.96/29,028 = 8,957.76/x
  3. Step 3: Cross multiply
    19,368.96x = 29,028 × 8,957.76
  4. Step 4: Simplify right side
    19,368.96x = 260,025,857.28
  5. Step 5: Solve for x
    x = 260,025,857.28/19,368.96
  6. Step 6: Final answer
    x = 13,424.87

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Why These Related Problems?

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