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Finding the Fourth Proportional to 23,254.72, 32,088 and 14,303.68

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Solution

The fourth proportional to 23,254.72, 32,088 and 14,303.68 is: 19,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.72 : 32,088 = 14,303.68 : x
  2. Step 2: Convert to fraction form
    23,254.72/32,088 = 14,303.68/x
  3. Step 3: Cross multiply
    23,254.72x = 32,088 × 14,303.68
  4. Step 4: Simplify right side
    23,254.72x = 458,976,483.84
  5. Step 5: Solve for x
    x = 458,976,483.84/23,254.72
  6. Step 6: Final answer
    x = 19,736.92

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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.