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Finding the Fourth Proportional to 29,514.51, 44,262.23 and 9,787.77

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Solution

The fourth proportional to 29,514.51, 44,262.23 and 9,787.77 is: 14,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514.51 : 44,262.23 = 9,787.77 : x
  2. Step 2: Convert to fraction form
    29,514.51/44,262.23 = 9,787.77/x
  3. Step 3: Cross multiply
    29,514.51x = 44,262.23 × 9,787.77
  4. Step 4: Simplify right side
    29,514.51x = 433,228,477.99
  5. Step 5: Solve for x
    x = 433,228,477.99/29,514.51
  6. Step 6: Final answer
    x = 14,678.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.