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Finding the Fourth Proportional to 21,465.69, 32,185.98 and 9,772.53

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Solution

The fourth proportional to 21,465.69, 32,185.98 and 9,772.53 is: 14,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465.69 : 32,185.98 = 9,772.53 : x
  2. Step 2: Convert to fraction form
    21,465.69/32,185.98 = 9,772.53/x
  3. Step 3: Cross multiply
    21,465.69x = 32,185.98 × 9,772.53
  4. Step 4: Simplify right side
    21,465.69x = 314,538,455.13
  5. Step 5: Solve for x
    x = 314,538,455.13/21,465.69
  6. Step 6: Final answer
    x = 14,653.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.