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Finding the Fourth Proportional to 20,032.68, 30,047.16 and 7,547.34

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Solution

The fourth proportional to 20,032.68, 30,047.16 and 7,547.34 is: 11,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.68 : 30,047.16 = 7,547.34 : x
  2. Step 2: Convert to fraction form
    20,032.68/30,047.16 = 7,547.34/x
  3. Step 3: Cross multiply
    20,032.68x = 30,047.16 × 7,547.34
  4. Step 4: Simplify right side
    20,032.68x = 226,776,132.55
  5. Step 5: Solve for x
    x = 226,776,132.55/20,032.68
  6. Step 6: Final answer
    x = 11,320.31

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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.