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Finding the Fourth Proportional to 16,298.88, 22,492.32 and 9,225.24

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Solution

The fourth proportional to 16,298.88, 22,492.32 and 9,225.24 is: 12,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.88 : 22,492.32 = 9,225.24 : x
  2. Step 2: Convert to fraction form
    16,298.88/22,492.32 = 9,225.24/x
  3. Step 3: Cross multiply
    16,298.88x = 22,492.32 × 9,225.24
  4. Step 4: Simplify right side
    16,298.88x = 207,497,050.16
  5. Step 5: Solve for x
    x = 207,497,050.16/16,298.88
  6. Step 6: Final answer
    x = 12,730.76

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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.