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Finding the Fourth Proportional to 21,447, 29,598.48 and 13,065.12

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Solution

The fourth proportional to 21,447, 29,598.48 and 13,065.12 is: 18,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,447 : 29,598.48 = 13,065.12 : x
  2. Step 2: Convert to fraction form
    21,447/29,598.48 = 13,065.12/x
  3. Step 3: Cross multiply
    21,447x = 29,598.48 × 13,065.12
  4. Step 4: Simplify right side
    21,447x = 386,707,693.02
  5. Step 5: Solve for x
    x = 386,707,693.02/21,447
  6. Step 6: Final answer
    x = 18,030.85

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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.