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Finding the Fourth Proportional to 14,105.60, 19,466.88 and 7,820

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Solution

The fourth proportional to 14,105.60, 19,466.88 and 7,820 is: 10,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.60 : 19,466.88 = 7,820 : x
  2. Step 2: Convert to fraction form
    14,105.60/19,466.88 = 7,820/x
  3. Step 3: Cross multiply
    14,105.60x = 19,466.88 × 7,820
  4. Step 4: Simplify right side
    14,105.60x = 152,231,001.60
  5. Step 5: Solve for x
    x = 152,231,001.60/14,105.60
  6. Step 6: Final answer
    x = 10,792.24

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