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Finding the Fourth Proportional to 14,983.71, 20,685.29 and 10,946

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Solution

The fourth proportional to 14,983.71, 20,685.29 and 10,946 is: 15,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.71 : 20,685.29 = 10,946 : x
  2. Step 2: Convert to fraction form
    14,983.71/20,685.29 = 10,946/x
  3. Step 3: Cross multiply
    14,983.71x = 20,685.29 × 10,946
  4. Step 4: Simplify right side
    14,983.71x = 226,421,156.98
  5. Step 5: Solve for x
    x = 226,421,156.98/14,983.71
  6. Step 6: Final answer
    x = 15,111.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.