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Finding the Fourth Proportional to 16,127.65, 22,256.15 and 9,056.35

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Solution

The fourth proportional to 16,127.65, 22,256.15 and 9,056.35 is: 12,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,127.65 : 22,256.15 = 9,056.35 : x
  2. Step 2: Convert to fraction form
    16,127.65/22,256.15 = 9,056.35/x
  3. Step 3: Cross multiply
    16,127.65x = 22,256.15 × 9,056.35
  4. Step 4: Simplify right side
    16,127.65x = 201,559,395.41
  5. Step 5: Solve for x
    x = 201,559,395.41/16,127.65
  6. Step 6: Final answer
    x = 12,497.76

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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.