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Finding the Fourth Proportional to 16,913.02, 23,339.94 and 9,461.02

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Solution

The fourth proportional to 16,913.02, 23,339.94 and 9,461.02 is: 13,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,913.02 : 23,339.94 = 9,461.02 : x
  2. Step 2: Convert to fraction form
    16,913.02/23,339.94 = 9,461.02/x
  3. Step 3: Cross multiply
    16,913.02x = 23,339.94 × 9,461.02
  4. Step 4: Simplify right side
    16,913.02x = 220,819,639.14
  5. Step 5: Solve for x
    x = 220,819,639.14/16,913.02
  6. Step 6: Final answer
    x = 13,056.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.