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Finding the Fourth Proportional to 22,970.64, 34,461.90 and 9,636.48

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Solution

The fourth proportional to 22,970.64, 34,461.90 and 9,636.48 is: 14,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.64 : 34,461.90 = 9,636.48 : x
  2. Step 2: Convert to fraction form
    22,970.64/34,461.90 = 9,636.48/x
  3. Step 3: Cross multiply
    22,970.64x = 34,461.90 × 9,636.48
  4. Step 4: Simplify right side
    22,970.64x = 332,091,410.11
  5. Step 5: Solve for x
    x = 332,091,410.11/22,970.64
  6. Step 6: Final answer
    x = 14,457.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.