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Finding the Fourth Proportional to 14,274.38, 19,707.28 and 9,315.02

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Solution

The fourth proportional to 14,274.38, 19,707.28 and 9,315.02 is: 12,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.38 : 19,707.28 = 9,315.02 : x
  2. Step 2: Convert to fraction form
    14,274.38/19,707.28 = 9,315.02/x
  3. Step 3: Cross multiply
    14,274.38x = 19,707.28 × 9,315.02
  4. Step 4: Simplify right side
    14,274.38x = 183,573,585.52
  5. Step 5: Solve for x
    x = 183,573,585.52/14,274.38
  6. Step 6: Final answer
    x = 12,860.36

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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.