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Finding the Fourth Proportional to 14,547.83, 20,075.47 and 8,892.05

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Solution

The fourth proportional to 14,547.83, 20,075.47 and 8,892.05 is: 12,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.83 : 20,075.47 = 8,892.05 : x
  2. Step 2: Convert to fraction form
    14,547.83/20,075.47 = 8,892.05/x
  3. Step 3: Cross multiply
    14,547.83x = 20,075.47 × 8,892.05
  4. Step 4: Simplify right side
    14,547.83x = 178,511,960.41
  5. Step 5: Solve for x
    x = 178,511,960.41/14,547.83
  6. Step 6: Final answer
    x = 12,270.70

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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.