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Finding the Fourth Proportional to 15,970.40, 22,329.40 and 15,970.40

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Solution

The fourth proportional to 15,970.40, 22,329.40 and 15,970.40 is: 22,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.40 : 22,329.40 = 15,970.40 : x
  2. Step 2: Convert to fraction form
    15,970.40/22,329.40 = 15,970.40/x
  3. Step 3: Cross multiply
    15,970.40x = 22,329.40 × 15,970.40
  4. Step 4: Simplify right side
    15,970.40x = 356,609,449.76
  5. Step 5: Solve for x
    x = 356,609,449.76/15,970.40
  6. Step 6: Final answer
    x = 22,329.40

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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.