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Finding the Fourth Proportional to 23,407.30, 32,283.93 and 13,965.94

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Solution

The fourth proportional to 23,407.30, 32,283.93 and 13,965.94 is: 19,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.30 : 32,283.93 = 13,965.94 : x
  2. Step 2: Convert to fraction form
    23,407.30/32,283.93 = 13,965.94/x
  3. Step 3: Cross multiply
    23,407.30x = 32,283.93 × 13,965.94
  4. Step 4: Simplify right side
    23,407.30x = 450,875,429.34
  5. Step 5: Solve for x
    x = 450,875,429.34/23,407.30
  6. Step 6: Final answer
    x = 19,262.17

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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.