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Finding the Fourth Proportional to 14,386.14, 21,581.74 and 5,952.62

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Solution

The fourth proportional to 14,386.14, 21,581.74 and 5,952.62 is: 8,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.14 : 21,581.74 = 5,952.62 : x
  2. Step 2: Convert to fraction form
    14,386.14/21,581.74 = 5,952.62/x
  3. Step 3: Cross multiply
    14,386.14x = 21,581.74 × 5,952.62
  4. Step 4: Simplify right side
    14,386.14x = 128,467,897.16
  5. Step 5: Solve for x
    x = 128,467,897.16/14,386.14
  6. Step 6: Final answer
    x = 8,929.98

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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.