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Finding the Fourth Proportional to 12,902.02, 17,802.59 and 7,235.87

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Solution

The fourth proportional to 12,902.02, 17,802.59 and 7,235.87 is: 9,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.02 : 17,802.59 = 7,235.87 : x
  2. Step 2: Convert to fraction form
    12,902.02/17,802.59 = 7,235.87/x
  3. Step 3: Cross multiply
    12,902.02x = 17,802.59 × 7,235.87
  4. Step 4: Simplify right side
    12,902.02x = 128,817,101.71
  5. Step 5: Solve for x
    x = 128,817,101.71/12,902.02
  6. Step 6: Final answer
    x = 9,984.26

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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.