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Finding the Fourth Proportional to 19,113.50, 26,376.72 and 10,730

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Solution

The fourth proportional to 19,113.50, 26,376.72 and 10,730 is: 14,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,113.50 : 26,376.72 = 10,730 : x
  2. Step 2: Convert to fraction form
    19,113.50/26,376.72 = 10,730/x
  3. Step 3: Cross multiply
    19,113.50x = 26,376.72 × 10,730
  4. Step 4: Simplify right side
    19,113.50x = 283,022,205.60
  5. Step 5: Solve for x
    x = 283,022,205.60/19,113.50
  6. Step 6: Final answer
    x = 14,807.45

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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.