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Finding the Fourth Proportional to 12,652.04, 17,465.73 and 7,345.82

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Solution

The fourth proportional to 12,652.04, 17,465.73 and 7,345.82 is: 10,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.04 : 17,465.73 = 7,345.82 : x
  2. Step 2: Convert to fraction form
    12,652.04/17,465.73 = 7,345.82/x
  3. Step 3: Cross multiply
    12,652.04x = 17,465.73 × 7,345.82
  4. Step 4: Simplify right side
    12,652.04x = 128,300,108.75
  5. Step 5: Solve for x
    x = 128,300,108.75/12,652.04
  6. Step 6: Final answer
    x = 10,140.67

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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.