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Finding the Fourth Proportional to 14,024.34, 19,354.68 and 7,737.84

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Solution

The fourth proportional to 14,024.34, 19,354.68 and 7,737.84 is: 10,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.34 : 19,354.68 = 7,737.84 : x
  2. Step 2: Convert to fraction form
    14,024.34/19,354.68 = 7,737.84/x
  3. Step 3: Cross multiply
    14,024.34x = 19,354.68 × 7,737.84
  4. Step 4: Simplify right side
    14,024.34x = 149,763,417.09
  5. Step 5: Solve for x
    x = 149,763,417.09/14,024.34
  6. Step 6: Final answer
    x = 10,678.82

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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.