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Finding the Fourth Proportional to 34,740.26, 52,106.93 and 9,779.74

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Solution

The fourth proportional to 34,740.26, 52,106.93 and 9,779.74 is: 14,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740.26 : 52,106.93 = 9,779.74 : x
  2. Step 2: Convert to fraction form
    34,740.26/52,106.93 = 9,779.74/x
  3. Step 3: Cross multiply
    34,740.26x = 52,106.93 × 9,779.74
  4. Step 4: Simplify right side
    34,740.26x = 509,592,085.11
  5. Step 5: Solve for x
    x = 509,592,085.11/34,740.26
  6. Step 6: Final answer
    x = 14,668.63

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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.