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Finding the Fourth Proportional to 14,889.30, 22,325.45 and 6,117

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Solution

The fourth proportional to 14,889.30, 22,325.45 and 6,117 is: 9,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889.30 : 22,325.45 = 6,117 : x
  2. Step 2: Convert to fraction form
    14,889.30/22,325.45 = 6,117/x
  3. Step 3: Cross multiply
    14,889.30x = 22,325.45 × 6,117
  4. Step 4: Simplify right side
    14,889.30x = 136,564,747.07
  5. Step 5: Solve for x
    x = 136,564,747.07/14,889.30
  6. Step 6: Final answer
    x = 9,172.01

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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.