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Finding the Fourth Proportional to 22,700.51, 31,342.14 and 14,206.07

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Solution

The fourth proportional to 22,700.51, 31,342.14 and 14,206.07 is: 19,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700.51 : 31,342.14 = 14,206.07 : x
  2. Step 2: Convert to fraction form
    22,700.51/31,342.14 = 14,206.07/x
  3. Step 3: Cross multiply
    22,700.51x = 31,342.14 × 14,206.07
  4. Step 4: Simplify right side
    22,700.51x = 445,248,442.56
  5. Step 5: Solve for x
    x = 445,248,442.56/22,700.51
  6. Step 6: Final answer
    x = 19,614.03

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