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Finding the Fourth Proportional to 21,666.84, 32,501.54 and 6,084.46

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Solution

The fourth proportional to 21,666.84, 32,501.54 and 6,084.46 is: 9,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.84 : 32,501.54 = 6,084.46 : x
  2. Step 2: Convert to fraction form
    21,666.84/32,501.54 = 6,084.46/x
  3. Step 3: Cross multiply
    21,666.84x = 32,501.54 × 6,084.46
  4. Step 4: Simplify right side
    21,666.84x = 197,754,320.07
  5. Step 5: Solve for x
    x = 197,754,320.07/21,666.84
  6. Step 6: Final answer
    x = 9,127.05

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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.