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Finding the Fourth Proportional to 14,269.86, 19,696.98 and 8,300.40

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Solution

The fourth proportional to 14,269.86, 19,696.98 and 8,300.40 is: 11,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.86 : 19,696.98 = 8,300.40 : x
  2. Step 2: Convert to fraction form
    14,269.86/19,696.98 = 8,300.40/x
  3. Step 3: Cross multiply
    14,269.86x = 19,696.98 × 8,300.40
  4. Step 4: Simplify right side
    14,269.86x = 163,492,812.79
  5. Step 5: Solve for x
    x = 163,492,812.79/14,269.86
  6. Step 6: Final answer
    x = 11,457.21

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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.