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Finding the Fourth Proportional to 15,585.86, 23,384.55 and 5,731.58

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Solution

The fourth proportional to 15,585.86, 23,384.55 and 5,731.58 is: 8,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.86 : 23,384.55 = 5,731.58 : x
  2. Step 2: Convert to fraction form
    15,585.86/23,384.55 = 5,731.58/x
  3. Step 3: Cross multiply
    15,585.86x = 23,384.55 × 5,731.58
  4. Step 4: Simplify right side
    15,585.86x = 134,030,419.09
  5. Step 5: Solve for x
    x = 134,030,419.09/15,585.86
  6. Step 6: Final answer
    x = 8,599.49

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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.