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Finding the Fourth Proportional to 30,219.84, 45,314.11 and 13,565.53

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Solution

The fourth proportional to 30,219.84, 45,314.11 and 13,565.53 is: 20,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.84 : 45,314.11 = 13,565.53 : x
  2. Step 2: Convert to fraction form
    30,219.84/45,314.11 = 13,565.53/x
  3. Step 3: Cross multiply
    30,219.84x = 45,314.11 × 13,565.53
  4. Step 4: Simplify right side
    30,219.84x = 614,709,771.43
  5. Step 5: Solve for x
    x = 614,709,771.43/30,219.84
  6. Step 6: Final answer
    x = 20,341.26

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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.