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Finding the Fourth Proportional to 20,509.10, 30,775.80 and 14,948.45

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Solution

The fourth proportional to 20,509.10, 30,775.80 and 14,948.45 is: 22,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.10 : 30,775.80 = 14,948.45 : x
  2. Step 2: Convert to fraction form
    20,509.10/30,775.80 = 14,948.45/x
  3. Step 3: Cross multiply
    20,509.10x = 30,775.80 × 14,948.45
  4. Step 4: Simplify right side
    20,509.10x = 460,050,507.51
  5. Step 5: Solve for x
    x = 460,050,507.51/20,509.10
  6. Step 6: Final answer
    x = 22,431.53

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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.