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Finding the Fourth Proportional to 12,810.40, 17,678.01 and 7,145.32

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Solution

The fourth proportional to 12,810.40, 17,678.01 and 7,145.32 is: 9,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.40 : 17,678.01 = 7,145.32 : x
  2. Step 2: Convert to fraction form
    12,810.40/17,678.01 = 7,145.32/x
  3. Step 3: Cross multiply
    12,810.40x = 17,678.01 × 7,145.32
  4. Step 4: Simplify right side
    12,810.40x = 126,315,038.41
  5. Step 5: Solve for x
    x = 126,315,038.41/12,810.40
  6. Step 6: Final answer
    x = 9,860.35

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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.