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Finding the Fourth Proportional to 14,539.10, 21,812.90 and 4,678.16

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Solution

The fourth proportional to 14,539.10, 21,812.90 and 4,678.16 is: 7,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.10 : 21,812.90 = 4,678.16 : x
  2. Step 2: Convert to fraction form
    14,539.10/21,812.90 = 4,678.16/x
  3. Step 3: Cross multiply
    14,539.10x = 21,812.90 × 4,678.16
  4. Step 4: Simplify right side
    14,539.10x = 102,044,103.81
  5. Step 5: Solve for x
    x = 102,044,103.81/14,539.10
  6. Step 6: Final answer
    x = 7,018.60

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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.