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Finding the Fourth Proportional to 13,345.50, 18,416.79 and 7,457.50

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Solution

The fourth proportional to 13,345.50, 18,416.79 and 7,457.50 is: 10,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,345.50 : 18,416.79 = 7,457.50 : x
  2. Step 2: Convert to fraction form
    13,345.50/18,416.79 = 7,457.50/x
  3. Step 3: Cross multiply
    13,345.50x = 18,416.79 × 7,457.50
  4. Step 4: Simplify right side
    13,345.50x = 137,343,211.43
  5. Step 5: Solve for x
    x = 137,343,211.43/13,345.50
  6. Step 6: Final answer
    x = 10,291.35

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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.