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Finding the Fourth Proportional to 23,038.11, 31,792.09 and 12,829.07

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Solution

The fourth proportional to 23,038.11, 31,792.09 and 12,829.07 is: 17,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.11 : 31,792.09 = 12,829.07 : x
  2. Step 2: Convert to fraction form
    23,038.11/31,792.09 = 12,829.07/x
  3. Step 3: Cross multiply
    23,038.11x = 31,792.09 × 12,829.07
  4. Step 4: Simplify right side
    23,038.11x = 407,862,948.06
  5. Step 5: Solve for x
    x = 407,862,948.06/23,038.11
  6. Step 6: Final answer
    x = 17,703.84

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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.