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Finding the Fourth Proportional to 13,369.86, 18,457.05 and 10,378.98

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Solution

The fourth proportional to 13,369.86, 18,457.05 and 10,378.98 is: 14,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,369.86 : 18,457.05 = 10,378.98 : x
  2. Step 2: Convert to fraction form
    13,369.86/18,457.05 = 10,378.98/x
  3. Step 3: Cross multiply
    13,369.86x = 18,457.05 × 10,378.98
  4. Step 4: Simplify right side
    13,369.86x = 191,565,352.81
  5. Step 5: Solve for x
    x = 191,565,352.81/13,369.86
  6. Step 6: Final answer
    x = 14,328.15

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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.