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Finding the Fourth Proportional to 15,804.96, 21,816.36 and 10,501.20

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Solution

The fourth proportional to 15,804.96, 21,816.36 and 10,501.20 is: 14,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.96 : 21,816.36 = 10,501.20 : x
  2. Step 2: Convert to fraction form
    15,804.96/21,816.36 = 10,501.20/x
  3. Step 3: Cross multiply
    15,804.96x = 21,816.36 × 10,501.20
  4. Step 4: Simplify right side
    15,804.96x = 229,097,959.63
  5. Step 5: Solve for x
    x = 229,097,959.63/15,804.96
  6. Step 6: Final answer
    x = 14,495.32

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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.