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Finding the Fourth Proportional to 12,038.53, 18,056.01 and 4,642.07

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Solution

The fourth proportional to 12,038.53, 18,056.01 and 4,642.07 is: 6,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.53 : 18,056.01 = 4,642.07 : x
  2. Step 2: Convert to fraction form
    12,038.53/18,056.01 = 4,642.07/x
  3. Step 3: Cross multiply
    12,038.53x = 18,056.01 × 4,642.07
  4. Step 4: Simplify right side
    12,038.53x = 83,817,240.25
  5. Step 5: Solve for x
    x = 83,817,240.25/12,038.53
  6. Step 6: Final answer
    x = 6,962.41

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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.