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Finding the Fourth Proportional to 13,507.57, 18,632.16 and 8,970.45

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Solution

The fourth proportional to 13,507.57, 18,632.16 and 8,970.45 is: 12,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.57 : 18,632.16 = 8,970.45 : x
  2. Step 2: Convert to fraction form
    13,507.57/18,632.16 = 8,970.45/x
  3. Step 3: Cross multiply
    13,507.57x = 18,632.16 × 8,970.45
  4. Step 4: Simplify right side
    13,507.57x = 167,138,859.67
  5. Step 5: Solve for x
    x = 167,138,859.67/13,507.57
  6. Step 6: Final answer
    x = 12,373.72

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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.