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Finding the Fourth Proportional to 15,237.24, 21,024 and 9,645

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Solution

The fourth proportional to 15,237.24, 21,024 and 9,645 is: 13,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,237.24 : 21,024 = 9,645 : x
  2. Step 2: Convert to fraction form
    15,237.24/21,024 = 9,645/x
  3. Step 3: Cross multiply
    15,237.24x = 21,024 × 9,645
  4. Step 4: Simplify right side
    15,237.24x = 202,776,480
  5. Step 5: Solve for x
    x = 202,776,480/15,237.24
  6. Step 6: Final answer
    x = 13,307.95

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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.