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Finding the Fourth Proportional to 14,738.13, 20,332.59 and 9,071.16

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Solution

The fourth proportional to 14,738.13, 20,332.59 and 9,071.16 is: 12,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.13 : 20,332.59 = 9,071.16 : x
  2. Step 2: Convert to fraction form
    14,738.13/20,332.59 = 9,071.16/x
  3. Step 3: Cross multiply
    14,738.13x = 20,332.59 × 9,071.16
  4. Step 4: Simplify right side
    14,738.13x = 184,440,177.10
  5. Step 5: Solve for x
    x = 184,440,177.10/14,738.13
  6. Step 6: Final answer
    x = 12,514.49

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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.