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Finding the Fourth Proportional to 15,655.72, 23,428.15 and 9,735.40

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Solution

The fourth proportional to 15,655.72, 23,428.15 and 9,735.40 is: 14,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,655.72 : 23,428.15 = 9,735.40 : x
  2. Step 2: Convert to fraction form
    15,655.72/23,428.15 = 9,735.40/x
  3. Step 3: Cross multiply
    15,655.72x = 23,428.15 × 9,735.40
  4. Step 4: Simplify right side
    15,655.72x = 228,082,411.51
  5. Step 5: Solve for x
    x = 228,082,411.51/15,655.72
  6. Step 6: Final answer
    x = 14,568.63

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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.