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Finding the Fourth Proportional to 14,050.76, 21,064.62 and 11,309

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Solution

The fourth proportional to 14,050.76, 21,064.62 and 11,309 is: 16,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050.76 : 21,064.62 = 11,309 : x
  2. Step 2: Convert to fraction form
    14,050.76/21,064.62 = 11,309/x
  3. Step 3: Cross multiply
    14,050.76x = 21,064.62 × 11,309
  4. Step 4: Simplify right side
    14,050.76x = 238,219,787.58
  5. Step 5: Solve for x
    x = 238,219,787.58/14,050.76
  6. Step 6: Final answer
    x = 16,954.23

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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.