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Finding the Fourth Proportional to 15,821.60, 21,830.85 and 9,107.51

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Solution

The fourth proportional to 15,821.60, 21,830.85 and 9,107.51 is: 12,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.60 : 21,830.85 = 9,107.51 : x
  2. Step 2: Convert to fraction form
    15,821.60/21,830.85 = 9,107.51/x
  3. Step 3: Cross multiply
    15,821.60x = 21,830.85 × 9,107.51
  4. Step 4: Simplify right side
    15,821.60x = 198,824,575.53
  5. Step 5: Solve for x
    x = 198,824,575.53/15,821.60
  6. Step 6: Final answer
    x = 12,566.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.