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Finding the Fourth Proportional to 15,965.10, 22,307.40 and 15,965.10

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Solution

The fourth proportional to 15,965.10, 22,307.40 and 15,965.10 is: 22,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.10 : 22,307.40 = 15,965.10 : x
  2. Step 2: Convert to fraction form
    15,965.10/22,307.40 = 15,965.10/x
  3. Step 3: Cross multiply
    15,965.10x = 22,307.40 × 15,965.10
  4. Step 4: Simplify right side
    15,965.10x = 356,139,871.74
  5. Step 5: Solve for x
    x = 356,139,871.74/15,965.10
  6. Step 6: Final answer
    x = 22,307.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.