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Finding the Fourth Proportional to 14,585.80, 21,878.70 and 13,783.90

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Solution

The fourth proportional to 14,585.80, 21,878.70 and 13,783.90 is: 20,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.80 : 21,878.70 = 13,783.90 : x
  2. Step 2: Convert to fraction form
    14,585.80/21,878.70 = 13,783.90/x
  3. Step 3: Cross multiply
    14,585.80x = 21,878.70 × 13,783.90
  4. Step 4: Simplify right side
    14,585.80x = 301,573,812.93
  5. Step 5: Solve for x
    x = 301,573,812.93/14,585.80
  6. Step 6: Final answer
    x = 20,675.85

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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.