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Finding the Fourth Proportional to 14,496.45, 21,746.70 and 6,176.40

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Solution

The fourth proportional to 14,496.45, 21,746.70 and 6,176.40 is: 9,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.45 : 21,746.70 = 6,176.40 : x
  2. Step 2: Convert to fraction form
    14,496.45/21,746.70 = 6,176.40/x
  3. Step 3: Cross multiply
    14,496.45x = 21,746.70 × 6,176.40
  4. Step 4: Simplify right side
    14,496.45x = 134,316,317.88
  5. Step 5: Solve for x
    x = 134,316,317.88/14,496.45
  6. Step 6: Final answer
    x = 9,265.46

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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.