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Finding the Fourth Proportional to 35,705.74, 53,564.69 and 12,326.71

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Solution

The fourth proportional to 35,705.74, 53,564.69 and 12,326.71 is: 18,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.74 : 53,564.69 = 12,326.71 : x
  2. Step 2: Convert to fraction form
    35,705.74/53,564.69 = 12,326.71/x
  3. Step 3: Cross multiply
    35,705.74x = 53,564.69 × 12,326.71
  4. Step 4: Simplify right side
    35,705.74x = 660,276,399.87
  5. Step 5: Solve for x
    x = 660,276,399.87/35,705.74
  6. Step 6: Final answer
    x = 18,492.16

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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.