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Finding the Fourth Proportional to 14,721.96, 22,064.64 and 6,914.40

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Solution

The fourth proportional to 14,721.96, 22,064.64 and 6,914.40 is: 10,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721.96 : 22,064.64 = 6,914.40 : x
  2. Step 2: Convert to fraction form
    14,721.96/22,064.64 = 6,914.40/x
  3. Step 3: Cross multiply
    14,721.96x = 22,064.64 × 6,914.40
  4. Step 4: Simplify right side
    14,721.96x = 152,563,746.82
  5. Step 5: Solve for x
    x = 152,563,746.82/14,721.96
  6. Step 6: Final answer
    x = 10,363.01

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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.