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Finding the Fourth Proportional to 15,790.59, 23,686.52 and 6,430.46

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Solution

The fourth proportional to 15,790.59, 23,686.52 and 6,430.46 is: 9,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,790.59 : 23,686.52 = 6,430.46 : x
  2. Step 2: Convert to fraction form
    15,790.59/23,686.52 = 6,430.46/x
  3. Step 3: Cross multiply
    15,790.59x = 23,686.52 × 6,430.46
  4. Step 4: Simplify right side
    15,790.59x = 152,315,068.81
  5. Step 5: Solve for x
    x = 152,315,068.81/15,790.59
  6. Step 6: Final answer
    x = 9,645.94

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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.