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Finding the Fourth Proportional to 14,560, 21,939.16 and 12,968.68

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Solution

The fourth proportional to 14,560, 21,939.16 and 12,968.68 is: 19,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560 : 21,939.16 = 12,968.68 : x
  2. Step 2: Convert to fraction form
    14,560/21,939.16 = 12,968.68/x
  3. Step 3: Cross multiply
    14,560x = 21,939.16 × 12,968.68
  4. Step 4: Simplify right side
    14,560x = 284,521,945.51
  5. Step 5: Solve for x
    x = 284,521,945.51/14,560
  6. Step 6: Final answer
    x = 19,541.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.