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Finding the Fourth Proportional to 23,678.40, 35,522.64 and 7,038.48

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Solution

The fourth proportional to 23,678.40, 35,522.64 and 7,038.48 is: 10,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.40 : 35,522.64 = 7,038.48 : x
  2. Step 2: Convert to fraction form
    23,678.40/35,522.64 = 7,038.48/x
  3. Step 3: Cross multiply
    23,678.40x = 35,522.64 × 7,038.48
  4. Step 4: Simplify right side
    23,678.40x = 250,025,391.19
  5. Step 5: Solve for x
    x = 250,025,391.19/23,678.40
  6. Step 6: Final answer
    x = 10,559.22

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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.