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Finding the Fourth Proportional to 14,192.72, 19,566.87 and 9,938.06

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Solution

The fourth proportional to 14,192.72, 19,566.87 and 9,938.06 is: 13,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.72 : 19,566.87 = 9,938.06 : x
  2. Step 2: Convert to fraction form
    14,192.72/19,566.87 = 9,938.06/x
  3. Step 3: Cross multiply
    14,192.72x = 19,566.87 × 9,938.06
  4. Step 4: Simplify right side
    14,192.72x = 194,456,728.07
  5. Step 5: Solve for x
    x = 194,456,728.07/14,192.72
  6. Step 6: Final answer
    x = 13,701.16

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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.