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Finding the Fourth Proportional to 16,528, 22,812.58 and 9,458.50

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Solution

The fourth proportional to 16,528, 22,812.58 and 9,458.50 is: 13,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528 : 22,812.58 = 9,458.50 : x
  2. Step 2: Convert to fraction form
    16,528/22,812.58 = 9,458.50/x
  3. Step 3: Cross multiply
    16,528x = 22,812.58 × 9,458.50
  4. Step 4: Simplify right side
    16,528x = 215,772,787.93
  5. Step 5: Solve for x
    x = 215,772,787.93/16,528
  6. Step 6: Final answer
    x = 13,054.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.