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Finding the Fourth Proportional to 15,762.45, 23,653.53 and 6,402.51

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Solution

The fourth proportional to 15,762.45, 23,653.53 and 6,402.51 is: 9,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.45 : 23,653.53 = 6,402.51 : x
  2. Step 2: Convert to fraction form
    15,762.45/23,653.53 = 6,402.51/x
  3. Step 3: Cross multiply
    15,762.45x = 23,653.53 × 6,402.51
  4. Step 4: Simplify right side
    15,762.45x = 151,441,962.36
  5. Step 5: Solve for x
    x = 151,441,962.36/15,762.45
  6. Step 6: Final answer
    x = 9,607.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.