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Finding the Fourth Proportional to 10,386.68, 15,504.68 and 9,615.84

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Solution

The fourth proportional to 10,386.68, 15,504.68 and 9,615.84 is: 14,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.68 : 15,504.68 = 9,615.84 : x
  2. Step 2: Convert to fraction form
    10,386.68/15,504.68 = 9,615.84/x
  3. Step 3: Cross multiply
    10,386.68x = 15,504.68 × 9,615.84
  4. Step 4: Simplify right side
    10,386.68x = 149,090,522.13
  5. Step 5: Solve for x
    x = 149,090,522.13/10,386.68
  6. Step 6: Final answer
    x = 14,354.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.