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Finding the Fourth Proportional to 22,983, 31,715.74 and 14,045.46

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Solution

The fourth proportional to 22,983, 31,715.74 and 14,045.46 is: 19,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983 : 31,715.74 = 14,045.46 : x
  2. Step 2: Convert to fraction form
    22,983/31,715.74 = 14,045.46/x
  3. Step 3: Cross multiply
    22,983x = 31,715.74 × 14,045.46
  4. Step 4: Simplify right side
    22,983x = 445,462,157.54
  5. Step 5: Solve for x
    x = 445,462,157.54/22,983
  6. Step 6: Final answer
    x = 19,382.25

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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.