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Finding the Fourth Proportional to 14,213.59, 19,608.70 and 10,430.18

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Solution

The fourth proportional to 14,213.59, 19,608.70 and 10,430.18 is: 14,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.59 : 19,608.70 = 10,430.18 : x
  2. Step 2: Convert to fraction form
    14,213.59/19,608.70 = 10,430.18/x
  3. Step 3: Cross multiply
    14,213.59x = 19,608.70 × 10,430.18
  4. Step 4: Simplify right side
    14,213.59x = 204,522,349.84
  5. Step 5: Solve for x
    x = 204,522,349.84/14,213.59
  6. Step 6: Final answer
    x = 14,389.21

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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.