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Finding the Fourth Proportional to 35,806.24, 53,705.58 and 9,513.64

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Solution

The fourth proportional to 35,806.24, 53,705.58 and 9,513.64 is: 14,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,806.24 : 53,705.58 = 9,513.64 : x
  2. Step 2: Convert to fraction form
    35,806.24/53,705.58 = 9,513.64/x
  3. Step 3: Cross multiply
    35,806.24x = 53,705.58 × 9,513.64
  4. Step 4: Simplify right side
    35,806.24x = 510,935,554.11
  5. Step 5: Solve for x
    x = 510,935,554.11/35,806.24
  6. Step 6: Final answer
    x = 14,269.46

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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.