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Finding the Fourth Proportional to 30,347.68, 45,530.16 and 12,814.24

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Solution

The fourth proportional to 30,347.68, 45,530.16 and 12,814.24 is: 19,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,347.68 : 45,530.16 = 12,814.24 : x
  2. Step 2: Convert to fraction form
    30,347.68/45,530.16 = 12,814.24/x
  3. Step 3: Cross multiply
    30,347.68x = 45,530.16 × 12,814.24
  4. Step 4: Simplify right side
    30,347.68x = 583,434,397.48
  5. Step 5: Solve for x
    x = 583,434,397.48/30,347.68
  6. Step 6: Final answer
    x = 19,225.01

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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.