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Finding the Fourth Proportional to 15,417.94, 23,089.64 and 8,824.14

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Solution

The fourth proportional to 15,417.94, 23,089.64 and 8,824.14 is: 13,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417.94 : 23,089.64 = 8,824.14 : x
  2. Step 2: Convert to fraction form
    15,417.94/23,089.64 = 8,824.14/x
  3. Step 3: Cross multiply
    15,417.94x = 23,089.64 × 8,824.14
  4. Step 4: Simplify right side
    15,417.94x = 203,746,215.91
  5. Step 5: Solve for x
    x = 203,746,215.91/15,417.94
  6. Step 6: Final answer
    x = 13,214.88

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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.