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Finding the Fourth Proportional to 14,810.70, 20,424.62 and 9,698.60

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Solution

The fourth proportional to 14,810.70, 20,424.62 and 9,698.60 is: 13,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,810.70 : 20,424.62 = 9,698.60 : x
  2. Step 2: Convert to fraction form
    14,810.70/20,424.62 = 9,698.60/x
  3. Step 3: Cross multiply
    14,810.70x = 20,424.62 × 9,698.60
  4. Step 4: Simplify right side
    14,810.70x = 198,090,219.53
  5. Step 5: Solve for x
    x = 198,090,219.53/14,810.70
  6. Step 6: Final answer
    x = 13,374.80

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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.