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Finding the Fourth Proportional to 14,051.76, 19,391.16 and 7,764

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Solution

The fourth proportional to 14,051.76, 19,391.16 and 7,764 is: 10,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.76 : 19,391.16 = 7,764 : x
  2. Step 2: Convert to fraction form
    14,051.76/19,391.16 = 7,764/x
  3. Step 3: Cross multiply
    14,051.76x = 19,391.16 × 7,764
  4. Step 4: Simplify right side
    14,051.76x = 150,552,966.24
  5. Step 5: Solve for x
    x = 150,552,966.24/14,051.76
  6. Step 6: Final answer
    x = 10,714.17

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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.