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Finding the Fourth Proportional to 16,159.50, 22,300.38 and 10,570.50

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Solution

The fourth proportional to 16,159.50, 22,300.38 and 10,570.50 is: 14,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.50 : 22,300.38 = 10,570.50 : x
  2. Step 2: Convert to fraction form
    16,159.50/22,300.38 = 10,570.50/x
  3. Step 3: Cross multiply
    16,159.50x = 22,300.38 × 10,570.50
  4. Step 4: Simplify right side
    16,159.50x = 235,726,166.79
  5. Step 5: Solve for x
    x = 235,726,166.79/16,159.50
  6. Step 6: Final answer
    x = 14,587.47

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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.