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Finding the Fourth Proportional to 10,495.79, 15,666.89 and 9,250.26

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Solution

The fourth proportional to 10,495.79, 15,666.89 and 9,250.26 is: 13,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.79 : 15,666.89 = 9,250.26 : x
  2. Step 2: Convert to fraction form
    10,495.79/15,666.89 = 9,250.26/x
  3. Step 3: Cross multiply
    10,495.79x = 15,666.89 × 9,250.26
  4. Step 4: Simplify right side
    10,495.79x = 144,922,829.02
  5. Step 5: Solve for x
    x = 144,922,829.02/10,495.79
  6. Step 6: Final answer
    x = 13,807.72

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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.