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Finding the Fourth Proportional to 30,818.64, 46,222.92 and 14,178

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Solution

The fourth proportional to 30,818.64, 46,222.92 and 14,178 is: 21,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818.64 : 46,222.92 = 14,178 : x
  2. Step 2: Convert to fraction form
    30,818.64/46,222.92 = 14,178/x
  3. Step 3: Cross multiply
    30,818.64x = 46,222.92 × 14,178
  4. Step 4: Simplify right side
    30,818.64x = 655,348,559.76
  5. Step 5: Solve for x
    x = 655,348,559.76/30,818.64
  6. Step 6: Final answer
    x = 21,264.68

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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.