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Finding the Fourth Proportional to 21,426.48, 32,151.96 and 12,678.48

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Solution

The fourth proportional to 21,426.48, 32,151.96 and 12,678.48 is: 19,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,426.48 : 32,151.96 = 12,678.48 : x
  2. Step 2: Convert to fraction form
    21,426.48/32,151.96 = 12,678.48/x
  3. Step 3: Cross multiply
    21,426.48x = 32,151.96 × 12,678.48
  4. Step 4: Simplify right side
    21,426.48x = 407,637,981.82
  5. Step 5: Solve for x
    x = 407,637,981.82/21,426.48
  6. Step 6: Final answer
    x = 19,024.96

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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.