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Finding the Fourth Proportional to 14,297.47, 19,731.30 and 7,923.93

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Solution

The fourth proportional to 14,297.47, 19,731.30 and 7,923.93 is: 10,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.47 : 19,731.30 = 7,923.93 : x
  2. Step 2: Convert to fraction form
    14,297.47/19,731.30 = 7,923.93/x
  3. Step 3: Cross multiply
    14,297.47x = 19,731.30 × 7,923.93
  4. Step 4: Simplify right side
    14,297.47x = 156,349,440.01
  5. Step 5: Solve for x
    x = 156,349,440.01/14,297.47
  6. Step 6: Final answer
    x = 10,935.46

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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.