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Finding the Fourth Proportional to 24,476.96, 36,686.28 and 12,783.80

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Solution

The fourth proportional to 24,476.96, 36,686.28 and 12,783.80 is: 19,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476.96 : 36,686.28 = 12,783.80 : x
  2. Step 2: Convert to fraction form
    24,476.96/36,686.28 = 12,783.80/x
  3. Step 3: Cross multiply
    24,476.96x = 36,686.28 × 12,783.80
  4. Step 4: Simplify right side
    24,476.96x = 468,990,066.26
  5. Step 5: Solve for x
    x = 468,990,066.26/24,476.96
  6. Step 6: Final answer
    x = 19,160.47

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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.