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Finding the Fourth Proportional to 15,590.40, 23,386.80 and 5,202.16

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Solution

The fourth proportional to 15,590.40, 23,386.80 and 5,202.16 is: 7,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,590.40 : 23,386.80 = 5,202.16 : x
  2. Step 2: Convert to fraction form
    15,590.40/23,386.80 = 5,202.16/x
  3. Step 3: Cross multiply
    15,590.40x = 23,386.80 × 5,202.16
  4. Step 4: Simplify right side
    15,590.40x = 121,661,875.49
  5. Step 5: Solve for x
    x = 121,661,875.49/15,590.40
  6. Step 6: Final answer
    x = 7,803.64

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