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Finding the Fourth Proportional to 16,345.32, 22,560.57 and 9,276

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Solution

The fourth proportional to 16,345.32, 22,560.57 and 9,276 is: 12,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.32 : 22,560.57 = 9,276 : x
  2. Step 2: Convert to fraction form
    16,345.32/22,560.57 = 9,276/x
  3. Step 3: Cross multiply
    16,345.32x = 22,560.57 × 9,276
  4. Step 4: Simplify right side
    16,345.32x = 209,271,847.32
  5. Step 5: Solve for x
    x = 209,271,847.32/16,345.32
  6. Step 6: Final answer
    x = 12,803.17

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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.