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Finding the Fourth Proportional to 14,701.40, 20,314.68 and 10,715.60

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Solution

The fourth proportional to 14,701.40, 20,314.68 and 10,715.60 is: 14,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.40 : 20,314.68 = 10,715.60 : x
  2. Step 2: Convert to fraction form
    14,701.40/20,314.68 = 10,715.60/x
  3. Step 3: Cross multiply
    14,701.40x = 20,314.68 × 10,715.60
  4. Step 4: Simplify right side
    14,701.40x = 217,683,985.01
  5. Step 5: Solve for x
    x = 217,683,985.01/14,701.40
  6. Step 6: Final answer
    x = 14,807.02

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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.