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Finding the Fourth Proportional to 13,376.74, 20,065.02 and 10,457.50

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Solution

The fourth proportional to 13,376.74, 20,065.02 and 10,457.50 is: 15,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.74 : 20,065.02 = 10,457.50 : x
  2. Step 2: Convert to fraction form
    13,376.74/20,065.02 = 10,457.50/x
  3. Step 3: Cross multiply
    13,376.74x = 20,065.02 × 10,457.50
  4. Step 4: Simplify right side
    13,376.74x = 209,829,946.65
  5. Step 5: Solve for x
    x = 209,829,946.65/13,376.74
  6. Step 6: Final answer
    x = 15,686.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.