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Finding the Fourth Proportional to 10,925.70, 16,298.63 and 10,099.50

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Solution

The fourth proportional to 10,925.70, 16,298.63 and 10,099.50 is: 15,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.70 : 16,298.63 = 10,099.50 : x
  2. Step 2: Convert to fraction form
    10,925.70/16,298.63 = 10,099.50/x
  3. Step 3: Cross multiply
    10,925.70x = 16,298.63 × 10,099.50
  4. Step 4: Simplify right side
    10,925.70x = 164,607,963.19
  5. Step 5: Solve for x
    x = 164,607,963.19/10,925.70
  6. Step 6: Final answer
    x = 15,066.13

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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.