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Finding the Fourth Proportional to 20,689.06, 30,978.50 and 14,128.06

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Solution

The fourth proportional to 20,689.06, 30,978.50 and 14,128.06 is: 21,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.06 : 30,978.50 = 14,128.06 : x
  2. Step 2: Convert to fraction form
    20,689.06/30,978.50 = 14,128.06/x
  3. Step 3: Cross multiply
    20,689.06x = 30,978.50 × 14,128.06
  4. Step 4: Simplify right side
    20,689.06x = 437,666,106.71
  5. Step 5: Solve for x
    x = 437,666,106.71/20,689.06
  6. Step 6: Final answer
    x = 21,154.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.