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Finding the Fourth Proportional to 23,005.76, 31,738.03 and 14,501.16

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Solution

The fourth proportional to 23,005.76, 31,738.03 and 14,501.16 is: 20,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.76 : 31,738.03 = 14,501.16 : x
  2. Step 2: Convert to fraction form
    23,005.76/31,738.03 = 14,501.16/x
  3. Step 3: Cross multiply
    23,005.76x = 31,738.03 × 14,501.16
  4. Step 4: Simplify right side
    23,005.76x = 460,238,214.86
  5. Step 5: Solve for x
    x = 460,238,214.86/23,005.76
  6. Step 6: Final answer
    x = 20,005.35

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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.