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Finding the Fourth Proportional to 14,085.32, 19,437.68 and 7,624.94

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Solution

The fourth proportional to 14,085.32, 19,437.68 and 7,624.94 is: 10,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.32 : 19,437.68 = 7,624.94 : x
  2. Step 2: Convert to fraction form
    14,085.32/19,437.68 = 7,624.94/x
  3. Step 3: Cross multiply
    14,085.32x = 19,437.68 × 7,624.94
  4. Step 4: Simplify right side
    14,085.32x = 148,211,105.61
  5. Step 5: Solve for x
    x = 148,211,105.61/14,085.32
  6. Step 6: Final answer
    x = 10,522.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.