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Finding the Fourth Proportional to 20,038.24, 30,061.14 and 6,184

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Solution

The fourth proportional to 20,038.24, 30,061.14 and 6,184 is: 9,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.24 : 30,061.14 = 6,184 : x
  2. Step 2: Convert to fraction form
    20,038.24/30,061.14 = 6,184/x
  3. Step 3: Cross multiply
    20,038.24x = 30,061.14 × 6,184
  4. Step 4: Simplify right side
    20,038.24x = 185,898,089.76
  5. Step 5: Solve for x
    x = 185,898,089.76/20,038.24
  6. Step 6: Final answer
    x = 9,277.17

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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.