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Finding the Fourth Proportional to 19,206.96, 26,503.20 and 10,707

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Solution

The fourth proportional to 19,206.96, 26,503.20 and 10,707 is: 14,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206.96 : 26,503.20 = 10,707 : x
  2. Step 2: Convert to fraction form
    19,206.96/26,503.20 = 10,707/x
  3. Step 3: Cross multiply
    19,206.96x = 26,503.20 × 10,707
  4. Step 4: Simplify right side
    19,206.96x = 283,769,762.40
  5. Step 5: Solve for x
    x = 283,769,762.40/19,206.96
  6. Step 6: Final answer
    x = 14,774.32

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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.