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Finding the Fourth Proportional to 12,902.25, 19,356.21 and 4,582.74

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Solution

The fourth proportional to 12,902.25, 19,356.21 and 4,582.74 is: 6,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.25 : 19,356.21 = 4,582.74 : x
  2. Step 2: Convert to fraction form
    12,902.25/19,356.21 = 4,582.74/x
  3. Step 3: Cross multiply
    12,902.25x = 19,356.21 × 4,582.74
  4. Step 4: Simplify right side
    12,902.25x = 88,704,477.82
  5. Step 5: Solve for x
    x = 88,704,477.82/12,902.25
  6. Step 6: Final answer
    x = 6,875.12

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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.