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Finding the Fourth Proportional to 12,069.84, 16,643.76 and 9,547.92

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Solution

The fourth proportional to 12,069.84, 16,643.76 and 9,547.92 is: 13,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.84 : 16,643.76 = 9,547.92 : x
  2. Step 2: Convert to fraction form
    12,069.84/16,643.76 = 9,547.92/x
  3. Step 3: Cross multiply
    12,069.84x = 16,643.76 × 9,547.92
  4. Step 4: Simplify right side
    12,069.84x = 158,913,288.98
  5. Step 5: Solve for x
    x = 158,913,288.98/12,069.84
  6. Step 6: Final answer
    x = 13,166.15

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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.