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Finding the Fourth Proportional to 14,690.16, 22,030.56 and 4,827.15

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Solution

The fourth proportional to 14,690.16, 22,030.56 and 4,827.15 is: 7,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690.16 : 22,030.56 = 4,827.15 : x
  2. Step 2: Convert to fraction form
    14,690.16/22,030.56 = 4,827.15/x
  3. Step 3: Cross multiply
    14,690.16x = 22,030.56 × 4,827.15
  4. Step 4: Simplify right side
    14,690.16x = 106,344,817.70
  5. Step 5: Solve for x
    x = 106,344,817.70/14,690.16
  6. Step 6: Final answer
    x = 7,239.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.