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Finding the Fourth Proportional to 14,872, 22,316.64 and 6,664

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Solution

The fourth proportional to 14,872, 22,316.64 and 6,664 is: 9,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872 : 22,316.64 = 6,664 : x
  2. Step 2: Convert to fraction form
    14,872/22,316.64 = 6,664/x
  3. Step 3: Cross multiply
    14,872x = 22,316.64 × 6,664
  4. Step 4: Simplify right side
    14,872x = 148,718,088.96
  5. Step 5: Solve for x
    x = 148,718,088.96/14,872
  6. Step 6: Final answer
    x = 9,999.87

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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.