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Finding the Fourth Proportional to 38,407.84, 57,567.84 and 16,188

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Solution

The fourth proportional to 38,407.84, 57,567.84 and 16,188 is: 24,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.84 : 57,567.84 = 16,188 : x
  2. Step 2: Convert to fraction form
    38,407.84/57,567.84 = 16,188/x
  3. Step 3: Cross multiply
    38,407.84x = 57,567.84 × 16,188
  4. Step 4: Simplify right side
    38,407.84x = 931,908,193.92
  5. Step 5: Solve for x
    x = 931,908,193.92/38,407.84
  6. Step 6: Final answer
    x = 24,263.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.