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Finding the Fourth Proportional to 10,653.08, 14,594.80 and 10,254.12

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Solution

The fourth proportional to 10,653.08, 14,594.80 and 10,254.12 is: 14,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.08 : 14,594.80 = 10,254.12 : x
  2. Step 2: Convert to fraction form
    10,653.08/14,594.80 = 10,254.12/x
  3. Step 3: Cross multiply
    10,653.08x = 14,594.80 × 10,254.12
  4. Step 4: Simplify right side
    10,653.08x = 149,656,830.58
  5. Step 5: Solve for x
    x = 149,656,830.58/10,653.08
  6. Step 6: Final answer
    x = 14,048.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.