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Finding the Fourth Proportional to 10,810.34, 14,904.84 and 9,020.44

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Solution

The fourth proportional to 10,810.34, 14,904.84 and 9,020.44 is: 12,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.34 : 14,904.84 = 9,020.44 : x
  2. Step 2: Convert to fraction form
    10,810.34/14,904.84 = 9,020.44/x
  3. Step 3: Cross multiply
    10,810.34x = 14,904.84 × 9,020.44
  4. Step 4: Simplify right side
    10,810.34x = 134,448,214.93
  5. Step 5: Solve for x
    x = 134,448,214.93/10,810.34
  6. Step 6: Final answer
    x = 12,437.00

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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.