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Finding the Fourth Proportional to 19,878.84, 29,810.88 and 5,835

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Solution

The fourth proportional to 19,878.84, 29,810.88 and 5,835 is: 8,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.84 : 29,810.88 = 5,835 : x
  2. Step 2: Convert to fraction form
    19,878.84/29,810.88 = 5,835/x
  3. Step 3: Cross multiply
    19,878.84x = 29,810.88 × 5,835
  4. Step 4: Simplify right side
    19,878.84x = 173,946,484.80
  5. Step 5: Solve for x
    x = 173,946,484.80/19,878.84
  6. Step 6: Final answer
    x = 8,750.33

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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.