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Finding the Fourth Proportional to 15,666, 21,629.16 and 13,984.53

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Solution

The fourth proportional to 15,666, 21,629.16 and 13,984.53 is: 19,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666 : 21,629.16 = 13,984.53 : x
  2. Step 2: Convert to fraction form
    15,666/21,629.16 = 13,984.53/x
  3. Step 3: Cross multiply
    15,666x = 21,629.16 × 13,984.53
  4. Step 4: Simplify right side
    15,666x = 302,473,636.89
  5. Step 5: Solve for x
    x = 302,473,636.89/15,666
  6. Step 6: Final answer
    x = 19,307.65

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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.