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Finding the Fourth Proportional to 16,587.68, 22,888.40 and 10,300

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Solution

The fourth proportional to 16,587.68, 22,888.40 and 10,300 is: 14,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587.68 : 22,888.40 = 10,300 : x
  2. Step 2: Convert to fraction form
    16,587.68/22,888.40 = 10,300/x
  3. Step 3: Cross multiply
    16,587.68x = 22,888.40 × 10,300
  4. Step 4: Simplify right side
    16,587.68x = 235,750,520.00
  5. Step 5: Solve for x
    x = 235,750,520.00/16,587.68
  6. Step 6: Final answer
    x = 14,212.39

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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.