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Finding the Fourth Proportional to 14,430.84, 21,648.64 and 5,068.42

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Solution

The fourth proportional to 14,430.84, 21,648.64 and 5,068.42 is: 7,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.84 : 21,648.64 = 5,068.42 : x
  2. Step 2: Convert to fraction form
    14,430.84/21,648.64 = 5,068.42/x
  3. Step 3: Cross multiply
    14,430.84x = 21,648.64 × 5,068.42
  4. Step 4: Simplify right side
    14,430.84x = 109,724,399.95
  5. Step 5: Solve for x
    x = 109,724,399.95/14,430.84
  6. Step 6: Final answer
    x = 7,603.47

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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.