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Finding the Fourth Proportional to 14,501.57, 20,005.04 and 9,463.46

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Solution

The fourth proportional to 14,501.57, 20,005.04 and 9,463.46 is: 13,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.57 : 20,005.04 = 9,463.46 : x
  2. Step 2: Convert to fraction form
    14,501.57/20,005.04 = 9,463.46/x
  3. Step 3: Cross multiply
    14,501.57x = 20,005.04 × 9,463.46
  4. Step 4: Simplify right side
    14,501.57x = 189,316,819.47
  5. Step 5: Solve for x
    x = 189,316,819.47/14,501.57
  6. Step 6: Final answer
    x = 13,054.92

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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.